Question

What is the true solution to 2 In 4x=2 In 8

Answer 1

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:

$x=2$

Answer 2

Divide by two

ln is base e. both sides of the equation are base e so the parts inside the parentheses are equal

x=2