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