daniel0805dmz daniel0805dmz
  • 27-06-2019
  • Mathematics
contestada

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

Respuesta :

BadGuy364
BadGuy364 BadGuy364
  • 27-06-2019

Answer:

1

Step-by-step explanation:

[tex] ln4x = 2 ln8 \div 2 \\ ln4x = ln4 \\ x = 1[/tex]

Hope it helps you...☺

Answer Link
jimrgrant1 jimrgrant1
  • 27-06-2019

Answer:

x = 2

Step-by-step explanation:

Using the rules of logarithms

• log [tex]x^{n}[/tex] ⇔ 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 = [tex]\sqrt{4}[/tex] = 2

Answer Link

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