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

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Math Expert
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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09 Oct 2018, 03:11
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Difficulty:

25% (medium)

Question Stats:

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

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Is $$3^x > 100$$?

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

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

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

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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.

$$3^4<100$$

Intern
Joined: 24 Jun 2018
Posts: 31
Is 3^x > 100? (1) 3^√x = 9 (2) 1/3^x > 0.01  [#permalink]

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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.

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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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