Domain of Combinations of Functions Video 4
Finding the domain of a function with a root and a logarithm in the denominator
Properties of Logarithmic Functions and Expressions Video 4
Author: John Fisk
This video reviews logarithm rules and shows how to use them to condense logarithmic expressions into a single logarithm. The example below is expanded to show the process. You can try to solve the problem before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Condense the following logarithmic expression into a single logarithm: \[4\ln(x)-3\ln(x+5)+\ln \left(x^2+1\right)\]
\[\ln\left(\dfrac{x^4\left(x^2+1\right)}{(x+5)^3}\right)\]
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