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

Otras preguntas

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.00 m/s. The car is a distance d away. The bear is 37.2 m
A bus slams on its breaks and goes from 30 km/hr to 15km/hr in 4 seconds. What is its acceleration?
12/2 as a whole number or mixed number
what is the outlet of a river called
If five notebooks cost $5.25, how much will three notebooks cost?
What is the greatest common factor of 42,84,and 105 and how do you find it
what is 3a + 1 = -3.6(a - 1)
A car is driven 100 kilometers in the 1st week, 130 kilometers in the 2nd week, 160 kilometers in the 3rd week, and so on. What will be the total distance trave
What is the range of {(1, 2), (3, 4), (5, 6)}?
write down everything you know about the equation y=mx+b. you should include what this general equation represents,as well as what each of the different letters