# How do you evaluate log_6(1)?

Mar 23, 2016

${\log}_{6} \left(1\right) = 0$

#### Explanation:

We know that ${\log}_{x} y = z \Leftrightarrow {x}^{z} = y$

Bur for any number $x$, we have ${x}^{0} = 1$,

and hence ${\log}_{x} \left(1\right) = 0$ and that is true for $x = 6$ too.

Hence ${\log}_{6} \left(1\right) = 0$.