Answer:
x=2 is the true solution.
Explanation:
We have been given the expression:
2\ln 4x=2\ln 82ln4x=2ln8
Using:
n\ln m=\ln m^nnlnm=lnm
n
Our given expression becomes:
\ln{4x}^2=\ln{8^2}ln4x
2
=ln8
2
Cancel ln from both sides we get:
4x^2=8^24x
2
=8
2
On simplification we get:
16x^2=6416x
2
=64
x^2=4x
2
=4
Final simplification gives the result:
x=2x=2
