Question

What is the solution to the equation log 4 x - log 4 2 = 2

Answer 1

well you need to apply the log law for division, which is subtract the logs

so you question can be written as

\[\log_{4} (\frac{x}{2}) = 2\]

next raise each side of the equation as a power of the base...

this uses the log law

\[a^{\log_{a}(b)} = b\]

so

\[4^{\log_{4}(\frac{x}{2})} = 4^2\]

then

\[\frac{x}{2} = 16\]

just solve for x

Answer 2

so x=8?

Answer 3

not quite... look at the equation, some number divided by 2 is equal to 16...

whats the number..?

Answer 4

oh so 32?

Answer 5

thats it...