Question

How do you solve `3^(x-2)>=27`?

Answer 1

`x>=27/ln(3)+2`

Explanation:

Note that (using an example) `log(x^y) = ylog(x)`

Given`:" "3^(x-2) >=27`

Taking logs - You can use any log. I chose natural logs giving:

`(x-2)ln(3)>=27`

`x-2>=27/ln(3)`

`x>=27/ln(3)+2`