Question

How do you solve `3^(2x+1) = 5^(x+2)`?

Answer 1

`x=(2 log 5 - log 3)/(2 log 3 - log 5 )=3.607`, nearly.

Explanation:

Equating logarithms,

`(2x+1)log 3=(x+2)log 5`

So, `x=(2 log 5 - log 3)/(2 log 3 - log 5 )=3.607`, nearly.