Question

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

Answer 1

`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.