Question

How do you solve `25^(2x+1) =144`?

Answer 1

`x=(log 144/log 25 - 1)/2=(log 12/log 5 - 1)/2`.

Explanation:

Equate logarithms.

`(2x+1)log 25=log 144`.

`(2x+1)=log 144/log 25`.

`x=(log 144/log 25 - 1)/2`