Question

How do you solve `3^(-3x+1) = 3^(x-9)` and find any extraneous solutions?

Answer 1

`5/2`

Explanation:

`3^(-3x+1) = 3^(x-9)`

`implies -3x+1 = x-9`

Or

`10 = 4x, qquad x = 5/2`