Question #fcdaf

Mar 8, 2017

$\log \left(1\right) = 0$

Explanation:

A logarithm is used solve for the exponent of a base that results in a certain value.

Given:

${a}^{x} = y$

then,

${\log}_{a} \left(y\right) = x$

For a generic 'log' function, it is assumed to be base 10. So, we have the following:

$\log \left(1\right)$ is like saying ${10}^{x} = 1$

For any base, including 10, raised to the power 0, the result is 1. Therefore, $\log \left(1\right) = 0$