Question

What is the value of x if 5^x+2=5^9?

Answer 1

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.

$5^{x + 2} = 5^{9}$

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