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What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000

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What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000  [#permalink]

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New post 03 Apr 2018, 20:45
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

41% (01:14) correct 59% (01:18) wrong based on 46 sessions

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What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000  [#permalink]

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New post 03 Apr 2018, 20:59
(1) \(3x∗4x\)=144

\(12^x\) =\(12^2\) - SUFFICIENT

(2)\((10^x)^x\) =10,000

\((10)^x^2\) = \(10^4\) - SUFFICIENT

Ans. D
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Re: What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000  [#permalink]

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New post 04 Apr 2018, 00:26
aggvipul wrote:
(1) \(3x∗4x\)=144

\(12^x\) =\(12^2\) - SUFFICIENT

(2)\((10^x)^x\) =10,000

\((10)^x^2\) = \(10^4\) - SUFFICIENT

Ans. D


x can equal 2 and -2 in (2), so I would go with (A).
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Re: What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000  [#permalink]

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New post 05 Apr 2018, 08:14
IMO A.

Have to find value of X.

1. X=2, Sufficient.

2. X=4, therefore, values of X possible are +2/-2. Not sufficient.

Hence, A.
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Re: What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000 &nbs [#permalink] 05 Apr 2018, 08:14
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What is the value of x? (1) 3^x*4^x = 144 (2) (10^x)^x = 10,000

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