Question

log a a^5 =

find the power

​

Answer 1

Logarithm

If $a$ is a positive real number and $a\neq 1$ such that $a^x = m$, then $x$ is called the logarithm of $m$ to base $a$, written as $\log_{a}m$.

Our question is also related to this topic. Before solving the question first we've to know a law of logarithm, that is, $\log_{a}a = 1$. So,

$= \log_{a} {a}^{5} \\ \\ = 5(\log_{a} a) \\ \\ = 5 \times 1 \\ \\ = \boxed{5}$