If (4^x)(8^y)(16^7x) = (8^4y)(32^x)(64^y) what is the value of x/y?
A. 3/5
B. 2/3
C. 3/4
D. 1
E. 4/3
Hi,
I want to know whether there is quicker solution for this question, please.
[With standard math]
As (b^c)^d = b^cd, and (b^c)*(b^d) = b^(c+d)
(2^2x)(2^3y)((2^4)^7x) = ((2^3)4y)(2^5x)(2^6y) (2^2x)(2^3y)(2^28x) = (2^12y)(2^5x)(2^6y)
(2x + 3y + 28x) = (12y + 5x + 6y) (30x + 3y) = (18y + 5x)
(25x = 15y) (5x = 3y)
(x/y) = (3/5)![]()
A. 3/5
B. 2/3
C. 3/4
D. 1
E. 4/3
Hi,
I want to know whether there is quicker solution for this question, please.
[With standard math]
As (b^c)^d = b^cd, and (b^c)*(b^d) = b^(c+d)
(2^2x)(2^3y)((2^4)^7x) = ((2^3)4y)(2^5x)(2^6y) (2^2x)(2^3y)(2^28x) = (2^12y)(2^5x)(2^6y)
(2x + 3y + 28x) = (12y + 5x + 6y) (30x + 3y) = (18y + 5x)
(25x = 15y) (5x = 3y)
(x/y) = (3/5)