# How do you solve the exponential inequality #27^(4x-1)>=9^(3x+8)#?

##### 2 Answers

Mar 26, 2017

#### Explanation:

law of indices:

add

subtract

Aug 10, 2018

#### Explanation:

It would be very nice if we had the same base. Recall that

With this in mind, we can rewrite our inequality as

We can further simplify the exponents to get

Now that our bases are the same, we can equate the exponents:

Hope this helps!