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

Feb 20, 2017

$x = 4$

#### Explanation:

As 9^x=3^(x+4

we have ${\left({3}^{2}\right)}^{x} = {3}^{x + 4}$

or ${3}^{2 x} = {3}^{x + 4}$

or $2 x = x + 4$

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

and $x = 4$