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If y^(3x) = 5^x and y is a positive number, what is x?

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128912 [0], given: 12183

If y^(3x) = 5^x and y is a positive number, what is x? [#permalink]

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New post 24 Sep 2017, 23:56
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (00:42) correct 50% (01:18) wrong based on 26 sessions

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Kudos [?]: 128912 [0], given: 12183

Senior Manager
Senior Manager
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G
Joined: 02 Jul 2017
Posts: 252

Kudos [?]: 59 [0], given: 59

Location: India
GMAT ToolKit User CAT Tests
Re: If y^(3x) = 5^x and y is a positive number, what is x? [#permalink]

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New post 25 Sep 2017, 03:03
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If \(y^{3x}=5^x\) and y is a positive number, what is x?

\(y^{3x}=5^x\)
=> \((y^3)^x=5^x\)
=> \(y^3=5\)
=> \(y=5^\frac{1}{3}\)

(1) \(y= \sqrt[3]5\)
=> \(y^3 = 5\)
This is already given in question stem. As no detail about x given.
Insufficient

(2) \(y^x=5^\frac{x}{3}\)
=> \(y^x=(5^\frac{1}{3})^x\)
=> \(y=5^\frac{1}{3}\)
This is already given in question stem. As no detail about x given.
Insufficient

1+2
Here also we don't get any information about x

Answer: E

Kudos [?]: 59 [0], given: 59

Re: If y^(3x) = 5^x and y is a positive number, what is x?   [#permalink] 25 Sep 2017, 03:03
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If y^(3x) = 5^x and y is a positive number, what is x?

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