Answer:
\(x=2\) is the true solution.
Step-by-step explanation:
We have been given the expression:
\(2\ln 4x=2\ln 8\)
Using:
\(n\ln m=\ln m^n\)
Our given expression becomes:
\(\ln{4x}^2=\ln{8^2}\)
Cancel ln from both sides we get:
\(4x^2=8^2\)
On simplification we get:
\(16x^2=64\)
\(x^2=4\)
Final simplification gives the result:
\(x=2\)
