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For how many integers k is k^3 = 3^k ?

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
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For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 11 Jun 2018, 16:54
1
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A
B
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D
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  15% (low)

Question Stats:

72% (01:01) correct 28% (01:00) wrong based on 128 sessions

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For how many integers k is \(k^3\) =\(3^k\) ?

A) None
B) One
C) Two
D) Three
E) More than three
Senior Manager
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Joined: 29 Dec 2017
Posts: 374
Location: United States
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Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 11 Jun 2018, 19:40
selim wrote:
For how many integers k is \(k^3\) =\(3^k\) ?

A) None
B) One
C) Two
D) Three
E) More than three


There is only one integer k=3, when \(3^3\) =\(3^3\) . Answer (B)
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Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 12 Jun 2018, 03:44
B
because 3^k can equal to k^3 only if k is 3 = 3^3=3^3.
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Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 16 Mar 2019, 16:38
KSBGC wrote:
For how many integers k is \(k^3\) =\(3^k\) ?

A) None
B) One
C) Two
D) Three
E) More than three


Hello KSBGC!!!

Is there any concept that we can learn in order to answer these questions without trying with some numbers?

I know that the only possible answer was 3 but I had to try some numbers first.

Kind regards!
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Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 19 Mar 2019, 04:56
1
jfranciscocuencag wrote:
KSBGC wrote:
For how many integers k is \(k^3\) =\(3^k\) ?

A) None
B) One
C) Two
D) Three
E) More than three


Hello KSBGC!!!

Is there any concept that we can learn in order to answer these questions without trying with some numbers?

I know that the only possible answer was 3 but I had to try some numbers first.

Kind regards!





IMO:- In Gmat, Even if there is a formula to solve some type of questions, you can rely on it..you have to use the logic all the time
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Re: For how many integers k is k^3 = 3^k ?   [#permalink] 19 Mar 2019, 04:56
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