Question

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

Answer 1

Answer:

1

Step-by-step explanation:

$ln4x = 2 ln8 \div 2 \\ ln4x = ln4 \\ x = 1$

Hope it helps you...☺

Answer 2

Answer:

x = 2

Step-by-step 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 = $\sqrt{4}$ = 2