Question

How do you solve `(1/9)^m=81^(m+4)`?

Answer 1

`m=-8/3`

Explanation:

`3^(-2m)=(3^4)^(m+4)`

`3^(-2m)=3^(4m+16)`

`-2m=4m+16`

`6m=-16`

`m=-8/3`