If 49x = 343^y, which of the following expresses x in terms of y?
Choose the correct option: A) (343/49)^y B) y^(343/49) C) y^(343-49) D) 7^(3y-2) E) 7^(2y-1)
By exponential simplification. 49 = 7^2 and 343=7^3 therefore (7^2)x=(7^3)^y gives x=(7^3y)/(7^2) further simplified to x=(7^3y)(7^-2) which gives x=7^(3y-2) (because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). Answer: 7^(3y-2)
<result>D</result>
If 49x = 343^y, which of the following expresses x in terms of y?