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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1

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Math Expert V
Joined: 02 Sep 2009
Posts: 59138
Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 80% (01:32) correct 20% (01:52) wrong based on 55 sessions

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Is $$\frac{4^{(x + 5)}}{2^{12}} > 1$$ ?

(1) $$x > 1$$

(2) $$2^{(2x - 2)} > 1$$

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Current Student P
Joined: 07 Jan 2016
Posts: 1082
Location: India
GMAT 1: 710 Q49 V36 Re: Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1  [#permalink]

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Bunuel wrote:
Is $$\frac{4^{(x + 5)}}{2^{12}} > 1$$ ?

(1) $$x > 1$$

(2) $$2^{(2x - 2)} > 1$$

is 4^(x+5) > 2^12

2^2(x+5) >2^12

2x+10 > 12

2x>2

IS x>1 ?

1) sufficient

2) $$2^{(2x - 2)} > 1$$[/quote]

2^ (2x-2) > 2^0

2x-2>0

2x > 2

x >1

sufficient

(D) imo
Manager  G
Joined: 05 Feb 2016
Posts: 167
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1  [#permalink]

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Bunuel wrote:
Is $$\frac{4^{(x + 5)}}{2^{12}} > 1$$ ?

(1) $$x > 1$$

(2) $$2^{(2x - 2)} > 1$$

Simplifying the question
$$\frac{2^{(2x + 10)}}{2^{12}} > 1$$
$$2^{(2x -2)}> 1$$

from1: x>1
2x-2>0
$$2^{0} =1$$
then 2 power anything positive is greater than 1.

sufficient

from2: 2^{(2x - 2)} > 1
it is direct

sufficient

hence D Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1   [#permalink] 04 Apr 2018, 00:24
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# Is 4^(x + 5)/2^12 > 1 ? (1) x > 1 (2) 2^(2x - 2) > 1  