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Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 58400
Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01  [#permalink]

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New post 09 Oct 2018, 03:11
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (01:33) correct 16% (01:46) wrong based on 57 sessions

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VP
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D
Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01  [#permalink]

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New post 09 Oct 2018, 03:27
Bunuel wrote:
Is \(3^x > 100\)?


(1) \(3^{\sqrt{x}} = 9\)

(2) \(\frac{1}{3^x} > 0.01\)



Statement 1:

\(3^{\sqrt{x}} = 9\)

\(\sqrt{x} = 2\)

x = 4


Sufficient . \(3^4 <100.\)

Statement :
\(\frac{1}{3^x} > 0.01\)[/quote]

In this case x is maximum 4. Sufficient.


\(3^4<100\)


The best answer is D.
Intern
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Joined: 24 Jun 2018
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Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01  [#permalink]

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New post 09 Oct 2018, 03:37
Bunuel wrote:
Is \(3^x > 100\)?


(1) \(3^{\sqrt{x}} = 9\)

(2) \(\frac{1}{3^x} > 0.01\)



Statement 1: sufficient - the value of 3^x can vary depending on the value of X, after simplification the value of x will be 2.

Statement 2: after simplification, this statement can be rewritten as 100> 3^x . in this case the value of x cannot exceed 4. Hence sufficient.

Answer- D
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Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01   [#permalink] 09 Oct 2018, 03:37
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