# Using the change-of-base formula, evaluate the logarithm. Round your result

U
sing the change-of-base formula, evaluate the logarithm. Round your result to three decimal places. $$\displaystyle{{\log}_{{36}}{\left({25}\right)}}$$

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Clara Reese
$$\displaystyle{{\log}_{{36}}{\left({25}\right)}}={\frac{{{{\log}_{{10}}{\left({25}\right)}}}}{{{{\log}_{{10}}{\left({36}\right)}}}}}={0.898}$$