How do you solve 131= 5^ { x } + 6?

1 Answer
Jun 19, 2018

x= 3

Explanation:

131 = 5^x + 6

First transpose like terms so that they are on the same side. In this case we transposed 6. As we know, if a term moves across the equal sign, its sign changes.

131 – 6 = 5x

This will give us:
125 = 5^x

Now we need to express 125 in exponential form
5^3 = 5^x

Since bases on both sides of the equation are equal, we can drop our bases and reach our final answer.
3 = x

Hope this helps.