# How do you write log 0.001 = -3  in exponential form?

${10}^{- 3} = 0.001$.
In general, $\mathmr{if} c = {\log}_{b} a$, then the inverse relation is $a = {b}^{c}$.
Here, $c = - 3 , b = 10$ (for common logarithm) and $a = 0.001$.