# How do you evaluate log_8 (-64)?

Nov 12, 2016

There is solution to this.

#### Explanation:

Easy one to remember ${2}^{3} = 8$ or ${\log}_{2} 8 = 3$ are two ways of writing the same mathematical fact.

So ${\log}_{8} \left(- 64\right) = n$ is the same as ${8}^{n} = - 64$

8 to any power is positive, hence no solution