# What is the logarithm of 0.0856?

Aug 14, 2016

${\log}_{10} 0.0856 \cong - 1.0675$

#### Explanation:

Assuming the log is to base 10 and let the result be $x$

Then: $x = {\log}_{10} 0.0856$ (A)

This is equivalent to ${10}^{x} = 0.0856$ (B)

(A) $x$ can be found by normal scientific calculator to be $\cong - 1.0675$

and checked by (B) as: ${10}^{-} 1.0675 \cong 0.0856$