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# If x and y are non-zero numbers, what is the value of y?

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Director
Joined: 18 Feb 2019
Posts: 632
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If x and y are non-zero numbers, what is the value of y?  [#permalink]

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29 Mar 2019, 12:29
1
00:00

Difficulty:

85% (hard)

Question Stats:

24% (02:23) correct 76% (02:17) wrong based on 17 sessions

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If x and y are non-zero numbers, what is the value of y?

(1) 4^x=64/16^y

(2) (5x)^−y=25
Math Expert
Joined: 02 Aug 2009
Posts: 8335
Re: If x and y are non-zero numbers, what is the value of y?  [#permalink]

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29 Mar 2019, 23:27
If x and y are non-zero numbers, what is the value of y?

(1) $$4^x=\frac{64}{16^y}$$..
$$4^x=\frac{4^3}{4^{2y}}......x=3-2y$$..
Various combinations possible.

(2) $$(5x)^{−y}=25$$..
$$(5x)^{−y}=25=5^2.....(\frac{1}{5x})^y=5^2........5^{y+2}x^y=1=$$..
Again various combination possible

Combined
Two possibilities..
1) y=-2 and y=1
2) y=-1 and x=5

E
_________________
Re: If x and y are non-zero numbers, what is the value of y?   [#permalink] 29 Mar 2019, 23:27
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