Question

What is the solution to the equation log 4 x – log 4 2 = 2 ?

x = 16

x = 4

x = 32

x = 8

Answer 1

\[\log_4 x - \log_4 2 \iff \log_4 \left(\dfrac{x}{2}\right)\]

Answer 2

That leaves you with the following:\[\log_4\left(\dfrac{x}{2}\right) = 2\]Simply solve:\[\boxed{4^2 = \dfrac{x}{2}}\]

Answer 3

8?

Answer 4

x=32

Answer 5

Yes, 32.

Answer 6

32 or 8????