# Logarithms Question

Find the logarithms of the following numbers to the base 2: 32

I know 32 is 2^5. What is the format of the answer? Thanks

This is usually written as: $$\log_{2} 32$$
This is indeed equal to $5$ for exactly that reason: $$\log_{2} 32 = 5 \iff 2^5 = 32$$ Or in general (for $a>0$ and $a \ne 1$, $x>0$): $$\log_{a} x = y \iff a^y = x$$