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# Does 5^x=7^y?

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VP
Joined: 14 Nov 2016
Posts: 1153

Kudos [?]: 1167 [0], given: 412

Location: Malaysia

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08 Feb 2017, 01:28
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Difficulty:

85% (hard)

Question Stats:

34% (00:53) correct 66% (04:10) wrong based on 86 sessions

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Tricky Question.

Does $$5^x=7^y$$?

(1) $$x>y>0$$

(2) $$x$$ and $$y$$ are both even.
[Reveal] Spoiler: OA

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Posts: 4962

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Re: Does 5^x=7^y? [#permalink]

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08 Feb 2017, 04:54
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ziyuenlau wrote:

Tricky Question.

Does $$5^x=7^y$$?

(1) $$x>y>0$$

(2) $$x$$ and $$y$$ are both even.

Hi

When can $$5^x=7^y$$?..
When x=y=0, both are EQUAL to 1..
Also for a certain non-integer value of x and y, both will be EQUAL..

Let's see the statements...

(1) $$x>y>0$$
X=y=0 is ruled out but still for a certain non-integer value of x and y, both will be EQUAL otherwise they will not be same..
Insufficient..

(2) $$x$$ and $$y$$ are both even.[/quote]
x=y=0, and is YES..
x=0, y=2, ans is NO..
Insufficient..

Combined..
Both are even and not ZERO, so ans will always be NO..
Sufficient
C
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Intern
Joined: 26 Mar 2016
Posts: 37

Kudos [?]: 12 [0], given: 111

Location: India
Concentration: Strategy, General Management
GMAT 1: 640 Q50 V26
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WE: Other (Consulting)
Re: Does 5^x=7^y? [#permalink]

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21 Sep 2017, 09:31
chetan2u wrote:
ziyuenlau wrote:

Tricky Question.

Does $$5^x=7^y$$?

(1) $$x>y>0$$

(2) $$x$$ and $$y$$ are both even.

Hi

When can $$5^x=7^y$$?..
When x=y=0, both are EQUAL to 1..
Also for a certain non-integer value of x and y, both will be EQUAL..

Let's see the statements...

(1) $$x>y>0$$
X=y=0 is ruled out but still for a certain non-integer value of x and y, both will be EQUAL otherwise they will not be same..
Insufficient..

(2) $$x$$ and $$y$$ are both even.

x=y=0, and is YES..
x=0, y=2, ans is NO..
Insufficient..

Combined..
Both are even and not ZERO, so ans will always be NO..
Sufficient
C[/quote]

Hello Chetan,

Could you please explain on this

Also for a certain non-integer value of x and y, both will be EQUAL..
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Re: Does 5^x=7^y?   [#permalink] 21 Sep 2017, 09:31
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# Does 5^x=7^y?

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