janiyahevans67 janiyahevans67
  • 01-09-2020
  • Mathematics
contestada

Solve the equation –4 In(6x) = 2.
O A. 0.101
B. 0.275
C 3.639
D. 67.238

Respuesta :

chikafujiwara
chikafujiwara chikafujiwara
  • 01-09-2020

Isolate the variable using algebraic manipulation.

[tex]-4 ln(6x)=2[/tex]

[tex]ln(6x)=-\frac{1}{2}[/tex]

[tex]6x=e^{-\frac{1}{2}}[/tex]

[tex]x=\frac{e^-\frac{1}{2}}{6}[/tex]

[tex]x=0.101[/tex]

Hope this helps.

頑張って!

Answer Link
muhammadolim
muhammadolim muhammadolim
  • 01-09-2020

Answer:

A) 0.101

Step-by-step explanation:

  • [tex]ln(6x) = -1/2[/tex]
  • [tex]6x = e^(^-^1^/^2^)[/tex]
  • [tex]6x = 1/\sqrt{e}[/tex]
  • [tex]x = 1/(6\times \sqrt{e})[/tex]

Using the calculator [tex]x = 0.101[/tex]

Answer Link

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