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# Is 5m^k > 50k?

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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04 Jan 2017, 01:59
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Difficulty:

5% (low)

Question Stats:

86% (01:12) correct 14% (01:07) wrong based on 99 sessions

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Is 5m^k > 50k?

(1) k is a positive number.
(2) m is a positive number.

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Re: Is 5m^k > 50k?  [#permalink]

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04 Jan 2017, 07:41
Bunuel wrote:
Is 5m^k > 50k?

(1) k is a positive number.
(2) m is a positive number.

(1) no info on value m....not suff
(2) no info on value k....not suff

combined if m=k=1 then 5m^k < 50k
but if m=20 , k=1 then 5m^k > 50k

not suff

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Re: Is 5m^k > 50k?  [#permalink]

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04 Jan 2017, 11:43
m^k>10k & m, k are positive incl (fractions)

1) not sufficient
2) not sufficient

1) & 2) many possibilities.. not sufficient

E.

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Re: Is 5m^k > 50k?  [#permalink]

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24 Jan 2017, 17:53
1
5m^k>5k is equivalent to 5*k*logm>50*k--> K's cancel out, so the problem depends on m regardless of what K is and the inequality is only correct if m is greater than 10^10

1- Not sufficient because K doesn't matter in this problem
2- Not sufficient because we don't know if m is less than or greater than 10^10.

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Re: Is 5m^k > 50k?  [#permalink]

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14 Aug 2018, 07:44
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Re: Is 5m^k > 50k?   [#permalink] 14 Aug 2018, 07:44
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