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Home > A2C > Chapter 3 > Lesson 3.1.2 > Problem 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 22 and 16 is the same as 24 ,
can't we rewrite it as

  1. 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?

  2. Use both methods to solve .

  3. Now solve .