Binary Logarithm/Examples/32

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Example of Binary Logarithm

The binary logarithm of $32$ is:

$\lg 32 = 5$


Proof

\(\displaystyle 2^5\) \(=\) \(\displaystyle 32\)
\(\displaystyle \leadsto \ \ \) \(\displaystyle \lg 32\) \(=\) \(\displaystyle \log_2 2^5\)
\(\displaystyle \) \(=\) \(\displaystyle 5 \log_2 2\)
\(\displaystyle \) \(=\) \(\displaystyle 5\)

$\blacksquare$


Sources