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Does 5^x=7^y?

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Does 5^x=7^y? [#permalink]

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New post 08 Feb 2017, 01:28
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Difficulty:

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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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Re: Does 5^x=7^y? [#permalink]

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New post 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
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Re: Does 5^x=7^y? [#permalink]

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New post 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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