Question

How do you solve `log_(x-2) (9) =2`?

Answer 1

`x=5`

Explanation:

`log_(x-2) 9=2`

`log_a b=c" "a^c=b`

`9=(x-2)^2`

`3^2=(x-2)^2`

`3=x-2`

`x=3+2`

`x=5`