#### Answer

$\frac{1}{2}$

#### Work Step by Step

We know that $y=log_{b}x$ is equivalent to $b^{y}=x$ (where $x\gt0$, $b\gt0$, and $b\ne1$).
Therefore, $log_{100}10=\frac{1}{2}$, because $10^{\frac{1}{2}}=\sqrt 100=10$.

Published by
Pearson

ISBN 10:
0-32178-228-3

ISBN 13:
978-0-32178-228-1

$\frac{1}{2}$

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