what is the true solution to 2 ln 4x = 2 ln 8?\no x = -4\no x = -2\no x = 2\no x = 4

Explanation:

Step1: Divide both sides by 2

Given $2\ln(4x)=2\ln(8)$. Divide both sides by 2, we get $\ln(4x)=\ln(8)$.

Step2: Use property of logarithms

Since $\ln a=\ln b$ implies $a = b$ for $a>0,b>0$, then $4x = 8$.

Step3: Solve for x

Divide both sides of $4x = 8$ by 4, we have $x=\frac{8}{4}=2$.

Answer:

C. $x = 2$