annalicia59
annalicia59 annalicia59
  • 07-11-2018
  • Mathematics
contestada

what is a true solution to In 20 + In5 =2 In x?
A. x=5
B. x=10
C. x=50
D. x=100

Respuesta :

jimrgrant1 jimrgrant1
  • 07-11-2018

B

using the laws of logarithms

• log x + log y = log(xy)

• log [tex]x^{n}[/tex] = n logx

• log x = log y ⇒ x = y

ln 20 + ln 5 = ln(20 × 5 ) = ln 100, hence

ln 100 = ln [tex]x^{2}[/tex], hence

x² = 100 ⇒x = [tex]\sqrt{100}[/tex] = 10 → B



Answer Link
Kittoan Kittoan
  • 27-05-2021

Answer:

b e d g e n u i t y 2 0 2 1

Step-by-step explanation:

Answer Link

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