## College Algebra 7th Edition

$\log_5{\sqrt5} = \frac{1}{2}$
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, $\log_5{\sqrt5} = \frac{1}{2}$