haley tries to solve the equation log4 2x5 Haley tries to so

Haley tries to solve the equation log_4 2x = 5. She got the wrong answer. What was her mistake? What should the correct answer be?

Solution

Step 3 is wrong.

3. x = 4⁵/2 = 4(4⁴)/2 = 2(4⁴)

4. x = 512