Question

How do you solve `Log_ 3 3^(4x-1) = 15`?

Answer 1

`x=4`

Explanation:

Use the following property of logarithms: `log_a(b^c)=c*log_a b`

Thus, the equation can be rewritten as

`(4x-1)(log_3 3)=15`

Note that `log_3 3=1`.

`4x-1=15`

`x=4`