# How do you solve #5^ { x + 2} = 5^ { 9} #?

##### 1 Answer

#### Explanation:

When the base number on the LEFT-hand side equals to the base number on the RIGHT-hand side, we can simply equate their exponents/power.

By equating the exponents on the LHS and RHS, we get:

Double checking the solution,

**Alternatively** , we can use the logarithm to solve.

By adding

The special properties of logarithmic functions allow us to "bring" down the exponent as such:

When the base b, of the logarithmic functions is the same as the number,

Therefore,

Same as the previous answer!