Answer
$\log_5{\sqrt5} = \frac{1}{2}$
Work Step by Step
Use the rule $\sqrt{a} = a^{\frac{1}{2}}$ to obtain:
$\log_5{\sqrt5} = \log_5{(5^{\frac{1}{2}})}$
Use the rule $\log_a{(a^n)} = n$ to obtain:
$\log_5{(5^{\frac{1}{2}})}=\frac{1}{2}$
Thus,
$\log_5{\sqrt5} = \frac{1}{2}$
