# Binary Logarithm/Examples/32

## Example of Binary Logarithm

The binary logarithm of $32$ is:

$\lg 32 = 5$

## Proof

 $\displaystyle 2^5$ $=$ $\displaystyle 32$ $\displaystyle \leadsto \ \$ $\displaystyle \lg 32$ $=$ $\displaystyle \log_2 2^5$ $\displaystyle$ $=$ $\displaystyle 5 \log_2 2$ $\displaystyle$ $=$ $\displaystyle 5$

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