### Home > AC > Chapter 14 > Lesson 14.3.1.2 > Problem 3-30

3-30.

Derek and Donovan were trying to solve the equation * *. Derek had an idea.

*“I know,”* he said. *“Isn't* *equal to* *?”*

*“Yeah, so what?”* said Donovan.

*“That means that we can rewrite the equation to look like* *. This is much easier to solve!”* replied Derek.

*“Yes,”* said Donovan. *“That makes sense. Isn't there another way, too? Since* 4 *is the same as* 2^{2} *and* 16 *is the same as* 2^{4} *, can't we rewrite it as*

*?”*

What do you think of Derek's and Donovan's methods? Will they both work?

Are these methods violating any rules or properties of exponents?

Use both methods to solve

Now solve

^{ }.