Question

What is the solution to 4log4(x+8)=4^2

Answer 1

The answer is 8.

Explanation:

Just took the quiz and that it correct.

Answer 2

4log₄(x+8)=4²
⇒ log₄(x+8) = 4²:4
⇒ log₄(x+8)= 4
⇒ x+8 = 4⁴
⇒ x+8 = 256
⇒ x = 256 - 8
⇒ x = 248


Verification : 4log₄(248+8) = 4log₄256 = 4*4 = 4² = 16 - TRUE