Question

Given ${\log }_{10}x=a$
Write down ${10}^{a-2}$ in terms of $x$.

Answer 1

${\log }_{10}x=a$

$\Rightarrow x={10}^a$

$\therefore$ ${10}^{a-2}=\frac{{10}^a}{100}=\frac{x}{100}$

Hence, this is the answer.