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# What is the greatest possible value of integer n if 6^n < 36^10 ?

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
What is the greatest possible value of integer n if 6^n < 36^10 ?  [#permalink]

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18 Feb 2019, 01:42
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Difficulty:

5% (low)

Question Stats:

89% (00:32) correct 11% (00:36) wrong based on 46 sessions

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What is the greatest possible value of integer n if 6^n < 36^10 ?

A. 6
B. 9
C. 12
D. 15
E. 19

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Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
GPA: 3.68
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What is the greatest possible value of integer n if 6^n < 36^10 ?  [#permalink]

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18 Feb 2019, 01:45
Bunuel wrote:
What is the greatest possible value of integer n if 6^n < 36^10 ?

A. 6
B. 9
C. 12
D. 15
E. 19

$$6^n < 36^10$$

$$6^n < 6^{2*10}$$

$$6^n < 6^{20}$$

n<20.

n = 19......( max)

What is the greatest possible value of integer n if 6^n < 36^10 ?   [#permalink] 18 Feb 2019, 01:45
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