Question

How do you solve `3^(x+1)=15`?

Answer 1

`x = log 5/log 3 ~~ 1.465`

Explanation:

First note that `3^(x+1) = 3*3^x`, so we can divide both sides of the equation by `3` to get:

`3^x = 5`

Taking logs of both sides (any base), we get:

`x log 3 = log 5`

Hence:

`x = log 5 / log 3 ~~ 1.465`