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

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VP
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Joined: 31 Oct 2013
Posts: 1323
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
For how many integers k is k^3 = 3^k ?  [#permalink]

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New post 11 Jun 2018, 16:54
1
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

72% (01:01) correct 28% (01:01) wrong based on 115 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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G
Joined: 29 Dec 2017
Posts: 384
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
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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Joined: 31 Jul 2017
Posts: 139
Location: Tajikistan
Concentration: Finance, Economics
Schools: Booth '21, CBS '21
GMAT 1: 690 Q48 V35
GRE 1: Q164 V162
GPA: 3.85
WE: Accounting (Investment Banking)
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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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Status: when you say,"I can or I can't", Both times you are right!
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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
GMAT Club Bot
Re: For how many integers k is k^3 = 3^k ?   [#permalink] 19 Mar 2019, 04:56
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For how many integers k is k^3 = 3^k ?

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