Question

How do you solve `.05(1.15)^x = 5`?

Answer 1

`x = log_1.15 100`

Explanation:

`log a^n = n log a`
`log_a b = log_c b/log_c a`

`0.05(1.15)^x = 5`
`1.15^x = 100`
`xlog 1.15 = log 100`
`x = log_1.15 100`