Question

What is the true solution to 2 In x=2 in 8

Answer 1

x=2 is the true solution.

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

Answer 2

x = 8

Explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8