Question

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

Answer 1

The answer is x=2

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) =(64)/(16)`

This gives :
`x^(2) =4`

`x=√(4)`

`x=2`

Answer 2

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