Question

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

Answer 1

m = -8

Explanation:

Firstly notice that 81 is the square of 9 (`9^2 = 81`), thus we can simplify the expression to `9^m = 9^(2(m+4))`.
From this we can find that: m= 2m + 8
Then we solve this algebraic expression to find m = -8