Question

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

Answer 1

1

Explanation:

`ln4x = 2 ln8 / 2 \\ ln4x = ln4 \\ x = 1`

Hope it helps you...☺

Answer 2

x = 2

Explanation:

Using the rules of logarithms

• log
`x^(n)` ⇔ n logx

• log x = log y ⇒ x = y

Given

2 ln 4x = 2 ln 8

ln (4x)² = ln 8²

ln 16x² = ln 64, hence

16x² = 64 ( divide both sides by 16 )

x² = 4 ( take the square root of both sides )

x =
`√(4)` = 2