unicorneatbutter
unicorneatbutter unicorneatbutter
  • 16-05-2017
  • Mathematics
contestada

(1/8) = 4^ (6x+2)

[A] Negative 5/6
[B] Negative 7/12
[C] Negative 5/12
[D] Negative 1/12

Please explain how you got the answer so I may learn. Thank you!

Respuesta :

irspow
irspow irspow
  • 16-05-2017
1/8=4^(6x+2)  take the natural log of both sides

ln(1/8)=(6x+2)ln4  divide both sides by ln4

ln(1/8)/ln4=6x+2  subtract 2 from both sides

[ln(1/8)/ln4]-2=6x  divide both sides by 6

x=([ln(1/8)/ln4]-2)/6

x=-3.5/6

x=-7/12
Answer Link

Otras preguntas

Fill in the blank with the most appropriate verb. en la cola del cine ayer. ¿Qué pasó? No te A. volví B. viví C. vendí D. vi
What is the stage in the life cycle of plants when the plant is able to produce seeds, cones, or spores called? Adult stage Embryo stage Final stage Sprouti
Geometry question confused
the arc corresponding to the central angle of 35 degrees in a circle of radius 10 feet measures __feet. Round your answer to two decimal places.
is 2(x+4)=4x+3-2x+5 no solution or infinite solutions?
Use the demoivres theorem
Is melting ice cream a physical or a chemical change and why??
Guinea pigs can produce different coat colors, white, brown, and mixed white/brown (agouti). The allele B is codominant with allele W (white coat). Cross an ago
8. Choose the 3 correct statements for the code below. class BaseLayer: def __init__(self, name=""): self.name = name def __repr__(self): return f"{self.nam
By what percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent? Braking distance is the distance a car travel