# How do you solve #81^x = 27^(x + 2)#?

##### 1 Answer

More simply,

(logarithms are unnecessary in this case).

#### Explanation:

Since the bases are now the same, we can equate exponents to get

(technically this equating of exponents requires the fact that exponential functions (with base **not** equal to 1) are one-to-one functions).