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 :

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.

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