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

I have a goal to drive two miles at an average rate of 60 miles per hour. During the first mile you travel at a rate of 30 miles per hour. How fast would you ne
help! I know 10b but i dont understand 10a :( pls explain if you can:)
explain how you know the values of the digits in the number 58
Compute the standard deviation of the data set. Round to the nearest hundredth, if needed. 4.9, 4.9, 9.9, 9.9, 14.9 a. 3.74 b. 4.18 c. 8.9 d. 14
record the product 15×15=
At a resting pulse rate of 77 beats per minute, the human heart typically pumps about 65 mL of blood per beat. Blood has a denstity of 1060 kg / m3. Circulating
suppose you are given seven collinear points. Make a conjecture about the number of ways to connect different pairs of the points.
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there i
david buys 6 pencils for £1.20. how much would 4 pencils cost?
curt has 12 modlels in all. Three of the models are airplanes. Curt has 5 more models of cars than boats. How many models of cars does Curt have?