Question

How do you solve `14 ^(7x) = 21`?

Answer 1

`x = log(21)/(7log(14)) ~~ 0.1648`

Explanation:

Take logs of both sides (any base) to get:

`log(21) = log (14^(7x)) = 7x log(14)`

Divide both ends by `7log(14)` to find:

`x = log(21)/(7log(14)) ~~ 0.1648`