Solving Power and Exponential Equations Video 1
Explaining how to solve equations with power and exponential terms
Solving Logarithmic Equations Video 4
Author: John Fisk
This video explains how to solve equations with multiple logarithm terms on both sides and solves the following equation to demonstrate the process. You can try to solve the problem before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Solve the following equation. \[\log_7(x+2)-2\log_7(3)=\log_7(2x-3)-3\log_7(2)\]
\(x=\dfrac{43}{10}=4.3\)
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Calculus Exam Review (Derivatives and Approximate Profit): MATH 142
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Calculus Exam Review (Derivative Properties): MATH 142
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Derivatives of exponential and logarithmic functions and the exponential model
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Using derivatives to find properties of graphs
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MATH 140 WIR7 #2a
Determining the domain and range of a relation and if the relation is a function
MATH 140 WIR7 #2b
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MATH 140 WIR7 #2c
Determining the domain and range of a relation and if the relation is a function
MATH 140 WIR7 #6a
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6b
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6c
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6d
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6e
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 5.5 #1
Finding the domain of a piecewise function and evaluating it
MATH 140 5.5 #2
Finding the piecewise-defined function for a given graph along with its domain and range
MATH 140 5.6 #4
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Finding the domain, intercepts, asymptotes, and holes of a rational function
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Finding the domain, intercepts, asymptotes, and holes of a rational function
MATH 140 WIR 8 Pr 3
Finding the domain, intercepts, asymptotes, and holes of a rational function
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Calculus Exam Review (Application Problems with Integrals): MATH 142
Using integrals to solve application problems
Exponential Functions (Limits at Infinity): MATH 142
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Continuity of Functions II: MATH 142
Determining where functions are continuous
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Intermediate Value Theorem and Bisection Method
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Exponential Growth in Discrete Time Example
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Solving a polynomial equation using factoring by grouping
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Determining if an equation represents a function
WIR2 20B M150 V10
Finding the domains of functions
WIR8 20B M150 V03
Finding the domains of expressions
WIR3 20B M150 V13
Determining the properties of a rational function and graphing it
WIR8 20B M150 V09
Determining the properties of a rational function and graphing it
WIR3 20B M150 V20
Restricting the domain of a function so it is one-to-one and has an inverse
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Determining algebraically the inverse of a function
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Determining algebraically the inverse of a function
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Solving a trigonometric equation
WIR2 20B M150 V11
Using a graph to evaluate a function
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Using a double angle formula to solve a trigonometric equation
WIR6 20B M150 V21
Using a double angle formula to solve a trigonometric equation
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Cartesian equations and parametric equations of curves
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
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Review of the limit definition of a derivative and calculating the derivative
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Antiderivatives and physics applications
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
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Review of the limit definition of a derivative and calculating the derivative
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Review of the limit definition of a derivative and calculating the derivative
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
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Mean Value Theorem and properties of a graph
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Differentiating a function with an exponential function and using the Power Rule
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Using the Product and Quotient Rules to differentiate a function
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Using the Chain Rule to find the pattern for a higher order derivative
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Finding the derivative of a function containing a logarithms
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Finding the equation of a tangent line to a function containing a logarithm
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Using the Product and Chain Rule to find several derivatives
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Using the Product, Quotient and Chain Rules to find several derivatives
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Evaluating a limit with an indeterminate product using L'Hospital's Rule
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Evaluating a limit with an indeterminant difference using L'Hospital's Rule
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Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval
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Antidifferentiating twice to find a function from its second derivative
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Evaluating a limit with an indeterminant product using L'Hospital's Rule
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Finding the antiderivative of a function and using a function value to find the constant
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MLC WIR 20B M151 week10 #8d
Evaluating the limit at negative infinity of a fraction with exponential functions
MLC WIR 20B M151 week10 #9d
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MLC WIR 20B M151 week10 #19b
Using L'Hospital's Rule to solve a limit with an indeterminant product
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Using L'Hospital's Rule to solve a limit with an indeterminant difference
MLC WIR 20B M151 week10 #19d
Using L'Hospital's Rule to solve a limit with an indeterminant power
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Evaluating an indefinite integral by simplifying a fraction to powers of x
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Evaluating a definite integral by first simplifying the integrand
Review for the Common Exam: MATH 152 Exam 3 Review Problem 6
Review of estimating the sum of a series and the remainder
Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Review for the Common Exam: MATH 152 Exam 2 Review Problems 8 & 9
Review of improper integrals and the Comparison Theorem
Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13
Review of power series properties and writing functions as power series
Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Sequences: MATH 152 Problems 1-3
Determining properties of sequences
Taylor and Maclaurin Series: MATH 152 Problems 4-10
Finding Taylor and Maclaurin Series for functions
Representations of Functions as Power Series: MATH 152 Problems 2 & 3
Finding power series representations for functions and the radius and interval of convergence of the power series
Area Between Curves: MATH 152 Problem 1(a-f)
Examples finding the area bounded by curves
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2
Finding volume using using disks, washers and the shell method
Integration by Partial Fractions: MATH 152 Problems 12 & 13
Using the method of partial fractions to integrate rational functions
Improper Integrals: MATH 152 Problems 4 & 5
Determining divergence or convergence of improper integrals
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Integrating a rational function using u-substitution
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Finding the area of a region bounded by curves
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Finding the volume of a solid of revolution using cylindrical shells
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Evaluating an integral using integration by parts
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Evaluating an integral using integration by parts
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Evaluating an integral using integration by parts
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WIR 20B M152 V53
Determining if a series converges or diverges and find the sum if it converges
WIR 20B M152 V56
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WIR 20B M152 V57
Using the comparison test to determine if a series converges or diverges
WIR 20B M152 V58
Using the comparison test to determine if a series converges or diverges
WIR 20B M152 V59
Using the limit comparison test to determine if a series converges or diverges
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Determining if a series is absolutely convergent, conditionally convergent, or divergent.
WIR 20B M152 V70
Determining if a series is absolutely convergent, conditionally convergent, or divergent.
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Finding the interval and radius of convergence for a power series
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Finding the Taylor polynomial of a function
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Finding the length of a curve given by parametric equations
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Finding the area of a region defined using polar coordinates
MATH 152: Integration by Parts Exercise 1
Solving an indefinite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 2
Solving a definite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 4
Solving an indefinite integral with a natural logarithm using integration by parts
MATH 152: Integration by Parts Exercise 5
Solving a definite integral with a natural logarithm using integration by parts
MATH 152: Integration by Parts Exercise 8
Solving an indefinite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 9
Using integration by parts twice for an integral with sine and an exponential function
MATH 152: u-Substitution Exercise 4
Using u-substitution to evaluate a definite integral with a natural logarithm
MATH 152: u-Substitution Exercise 6
Using u-substitution on an indefinite integral with an exponential function, sine, and cosine
MATH 152: u-Substitution Exercise 8
Using u-substitution to solve an indefinite integral with an exponential function
MATH 152: Improper Integrals Exercise 2
Solving an improper integral where the upper limit of integration is infinity
MATH 152: Improper Integrals Exercise 4
Solving an improper integral where the upper limit of integration is infinity
Vectors: MATH 171 Problems 1 & 2
Proving associative and scalar multiplication properties for vectors
Parametric Curves: MATH 151 Problems 1-5
Cartesian equations and parametric equations of curves
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4
Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Derivatives of Logarithmic Functions: MATH 171 Problems 1-3
Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
L'Hospital's Rule: MATH 171 Problems 7-9
Proving L'Hospital's Rule and using it to evaluate limits
Integration by Substitution: MATH 171 Problems 4-6
Using u substitution to evaluate integrals and prove facts about logarithms and integrals and
Review for the Common Exam: MATH 152 Exam 3 Review Problem 6
Review of estimating the sum of a series and the remainder
Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Review for the Common Exam: MATH 152 Exam 2 Review Problems 8 & 9
Review of improper integrals and the Comparison Theorem
Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13
Review of power series properties and writing functions as power series
Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Sequences: MATH 152 Problems 1-3
Determining properties of sequences
Taylor and Maclaurin Series: MATH 152 Problems 4-10
Finding Taylor and Maclaurin Series for functions
Representations of Functions as Power Series: MATH 152 Problems 2 & 3
Finding power series representations for functions and the radius and interval of convergence of the power series
Area Between Curves: MATH 152 Problem 1(a-f)
Examples finding the area bounded by curves
Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2
Finding volume using using disks, washers and the shell method
Integration by Partial Fractions: MATH 152 Problems 12 & 13
Using the method of partial fractions to integrate rational functions
Integration Using Partial Fractions: MATH 172 Problems 8 & 9
Finding a partial fraction decomposition and integrating using partial fractions
Improper Integrals: MATH 152 Problems 4 & 5
Determining divergence or convergence of improper integrals
WIR2 20B M251 V7
Finding the limit of a three-dimensional vector function
WIR2 20B M251 V12
Finding the position vector function given the velocity and an initial position
WIR3 20B M251 V2
Finding and sketching the domain of a function of two variables
WIR3 20B M251 V8
Finding the partial derivatives of a function of two variables
WIR3 20B M251 V9
Finding the partial derivatives of a function of two variables
WIR3 20B M251 V11
Finding all second-order partial derivatives of a function of two variables
WIR5 20B M251 V7
Evaluating a double integral over a given region
WIR5 20B M251 V10
Evaluating a double integral by reversing the order of integration
WIR8 20B M251 V4
Evaluating a line integral along a curve
WIR8 20B M251 V5
Evaluating a line integral along a curve in space
WIR9 20B M251 V5
Finding the curl and divergence of a three dimensional vector field
WIR10 20B M251 V4
Evaluating a surface integral of a vector field
Approximating Definite Integrals with Riemann Sums in Python
Using Python to approximate a definite integral using left endpoint Riemann sums
Linear Algebra for Math 308: L7V2
Showing how the exponential function is the solution to an initial value problem
Splitting a Domain Into Two Pieces for a Double Integral
Evaluating a double integral over a given region by splitting it into two double integrals
Domain of Combinations of Functions Video 3
Finding the domain of a function with a square root in the denominator
Linear Forms Video 1
Explaining the main three forms for linear equations
Making Linear Functions Video 1
Discussing how to write the equation of a line through two given points
Making Linear Functions Video 2
Writing a linear equation of profit from a business word problem
Solving Linear Equations Algebraically Video 1
Solving a linear equation algebraically and showing how this relates to the graph
Solving Linear Equations Algebraically Video 2
Solving a linear equation algebraically
Solving Linear Equations Algebraically Video 3
Solving a linear equation algebraically and showing how this relates to the graph
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations
Systems of Two Linear Equations in Two Variables Video 2
Solving a system of linear equations with two variables
Systems of Two Linear Equations in Two Variables Video 3
Solving a system of two linear equations with two variables using the elimination method
Systems of Two Linear Equations in Two Variables Video 4
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 5
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 6
Solving a system of two linear equations using a TI-84 calculator
Properties of Power and Exponential Expressions Video 8
Simplifying power and exponential expressions using properties of exponents
Properties of Rational Functions and Expressions Video 2
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 3
Explaining how to do polynomial long division
Properties of Rational Functions and Expressions Video 4
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 5
Determining the end behavior and horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 6
Explaining basic algebraic operations for fractions
Properties of Rational Functions and Expressions Video 7
How to simplify rational expressions
Properties of Rational Functions and Expressions Video 8
Adding and subtracting rational expressions by finding a common denominator
MATH 152: Sequences Exercise 7
Finding the limit of a sequence
Functions of Several Variables Exercise V1
Evaluating and then finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V2
Finding and sketching the domain of a function of two variables
Functions of Several Variables Exercise V4
Sketching the level curves for a function of two variables
Functions of Several Variables Exercise V5
Sketching the level curves for a function of two variables
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations