In this equation, x = 7.
In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.
[tex] 5^{x + 2} = 5^{9} [/tex]
First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.
(x + 2)Log5 = 9Log5
Now that we've done this, we can divide both sides by Log5 and eliminate that term.
x + 2 = 9
From here, we simply need to subtract in order to solve.
x = 7
