Question

Express ${\log }_{100}0.1=-\frac{1}{2}$ in exponential form:

Answer 1

Given equation

${\log }_{100}0.1=-\frac{1}{2}$

Converting into exponential form,

$0.1={100}^{\frac{-1}{2}}$

$\Rightarrow 0.1=({10}^2{)}^{\frac{-1}{2}}$

$\Rightarrow 0.1={10}^{-1}$