Answer
$\log_{100}{10}=\frac{1}{2}$
Work Step by Step
Given an exponential equation as: $b^x=a$
This equation can be converted into logarithmic form expressed as: $\log_b{a}=x$
Thus, $100^{\frac{1}{2}}=10$ is equivalent to $\log_{100}{10}=\frac{1}{2}$