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# If x is an integer and 2.134 × 10x is less than 210,000, what is the

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Math Expert
Joined: 02 Sep 2009
Posts: 52293
If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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20 Dec 2015, 04:02
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5% (low)

Question Stats:

84% (00:55) correct 16% (01:29) wrong based on 116 sessions

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If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x?

A. 7
B. 6
C. 5
D. 4
E. 3

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Re: If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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20 Dec 2015, 06:36
x is an integer and 2.134 × 10x is less than 210,000, what is the greatest possible value for x?

for 2.134 × 10x is less than 210,000 to remain true, the greatest number is 21,340, which makes x=4

D. 4
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Re: If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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20 Dec 2015, 23:05
1
Bunuel, shouldn't the question be comparing 2.134 * 10^x rather 2.134 * 10x?

Then the question can be rewritten as When is 2.1* 10^5 > 2.134 * 10^x Which leads to the answer x=4
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Re: If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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20 Dec 2015, 23:21
appsy01 wrote:
Bunuel, shouldn't the question be comparing 2.134 * 10^x rather 2.134 * 10x?

Then the question can be rewritten as When is 2.1* 10^5 > 2.134 * 10^x Which leads to the answer x=4

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Yes. Edited. Thank you.
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If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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21 Dec 2015, 00:38
Bunuel wrote:
If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x?

A. 7
B. 6
C. 5
D. 4
E. 3

21340 * 10^-4 * 10^x < 210,000, x=4 Answer D, because the next zero on the right side will make 21,340 > 210,000
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Re: If x is an integer and 2.134 × 10x is less than 210,000, what is the  [#permalink]

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21 May 2017, 07:20
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Re: If x is an integer and 2.134 × 10x is less than 210,000, what is the &nbs [#permalink] 21 May 2017, 07:20
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