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

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Director
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Joined: 18 Feb 2019
Posts: 581
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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New post 29 Mar 2019, 12:29
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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
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Joined: 02 Aug 2009
Posts: 7984
Re: If x and y are non-zero numbers, what is the value of y?  [#permalink]

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New post 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

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

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