# Evaluating logarithms using change-of-base formula

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###### Topic Notes

• change-of-base rule:$\log_ba = \frac{\log_xa}{\log_xb} = \frac{\log a}{\log b}$

• common logarithms:log with base $``10"$example: $\log3 = \log_{10}3$

example: $\log x = \log_{10}x$

• common logarithms:log with base $``10"$example: $\log3 = \log_{10}3$

example: $\log x = \log_{10}x$

###### Basic Concepts

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