kelishanelle
kelishanelle kelishanelle
  • 21-05-2018
  • Mathematics
contestada

If 8^y=16^y+2, what is the value of y?
A) -8
B) -4
C) -2
D) -1

Respuesta :

gmany
gmany gmany
  • 23-05-2018
[tex]8=2^3;\ 16=2^4[/tex]

[tex]Use:\ (a^n)^m=a^{nm}[/tex]

[tex]8^y=16^{y+2}\\\\(2^3)^y=(2^4)^{y+2}\\\\2^{3y}=2^{4(y+2)}\iff3y=4(y+2)\\\\3y=4y+8\ \ \ |-4y\\\\-y=8\to y=-8[/tex]

Answer: A) -8.

Answer Link

Otras preguntas

The ratio of peanut butter to cookie dough in a mixture is 1:5. Which of the following best describes the amount of peanut butter and cookie dough in the mixtur
Any tips on how to stop feeling depressed during finals week?
Find the height of a cone that has a radius of 9 and a volume of 3052.
Is r = -1 a solution to the equation 6(r – 4) = 30r
In 1859, a small colony of 24 rabbits was brought to Australia. By 1928 it was estimated that there were 500 million rabbits in a 1-million square mile section
Find the height of a cone that has a radius of 9 and a volume of 3052.
Match the immune system line of defense with its correct description.
PLZ HELP William’s typical running speed is 6 km/h. The difference between his fastest speed and his typical speed is 1.5 km/h. The equation f-1.5=6 can be used
What group is responsible for introducing Islam to India? The Fatimids The Abbasids The Ghaznavids The Aghlabids
the ___ feasibility study is an evaluation of the effectiveness of the product to meet the client’s requirements. This study requires a broad visualization of h