Question

How do you solve `2^(x+4) = 3^(x-1)`?

Answer 1

`x = 9.5414`

Explanation:

`2 ^(x+4) = 3 ^ (x-1)`

`=>(x + 4) log 2 = (x-1) log 3`

`=> (x+4) * 0.301 = (x-1) * 0.4772`

`x (0.4772 - 0.301) = (4 * 0.301 + 0.4772)`

`0.1762 x = 1.6812`

`x = 1.6812 / 0.1762 = 9.5414`