# How do you change 10^-4 = 0.0001 into log form?

Jun 14, 2016

$\log 0.0001 = - 4$

#### Explanation:

As ${a}^{b} = x$ changes into ${\log}_{a} x = b$

${10}^{- 4} = 0.0001$ changes into ${\log}_{10} 0.0001 = - 4$

or $\log 0.0001 = - 4$

The latter is due to reason that if base is not mentioned, it is assumed to be $10$