Verified Answer :

2In4x= 2In8

ln(16x^2) = ln64

Multiply e by both sides.

16x^2 = 64

Divide both sides by 16

x^2 = 4

Take the square root of both sides.

x = 2

Answer:

The answer is x=2

Step-by-step explanation:

Given function is :

2In4x= 2In8

Solving this we get,

ln\(16x^{2}\) = ln64

Now using n ln m = ln \(m^{n}\) and doing further step we get

\(16x^{2} =64\)

\(x^{2} =\frac{64}{16}\)

This gives : \(x^{2} =4\)

\(x=\sqrt{4}\)

\(x=2\)