Logarithm Math Example 1

Follow the full solution, then compare it with the other examples linked below.

easy

Evaluate

\log_2 32

1
A logarithm asks for the exponent, so we want the value of $x$ such that $2^x = 32$ .
2
Check powers of 2: $2^5 = 32$ .
3
Therefore $\log_2 32 = 5$ .

Answer

5

A logarithm answers the question: 'What power do I raise the base to in order to get this number?' The definition

\log_b a = c

means

b^c = a

About Logarithm

The logarithm $\log_b(x)$ answers: "to what power must $b$ be raised to produce $x$ ?" It is the inverse function of $f(x) = b^x$ .

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