Question

How do you solve the exponential equation `9^x=3^(x+4)`?

Answer 1

`x=4`

Explanation:

As `9^x=3^(x+4`

we have `(3^2)^x=3^(x+4)`

or `3^(2x)=3^(x+4)`

or `2x=x+4`

i.e. `2x-x=4`

and `x=4`