If 4x = 8^y, which of the following expresses x in terms of y? Choose one
A) 2^(y-2)
B) 2^(y-1)
C) 2^(3y-2)
D) 2^(2y-3)
E) 2^y
By exponential simplification. 4 = 2^2 and 8=2^3 therefore (2^2)x=(2^3)^y gives x=(2^3y)/(2^2) further simplified to x=(2^3y)(2^-2) which gives x=2^(3y-2) (because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). Answer: 2^(3y-2)
<result>C</result>
If 4x = 8^y, which of the following expresses x in terms of y?