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

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VP
Joined: 31 Oct 2013
Posts: 1491
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
For how many integers k is k^3 = 3^k ?  [#permalink]

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11 Jun 2018, 15:54
1
1
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:01) correct 28% (01:00) wrong based on 129 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
Joined: 29 Dec 2017
Posts: 368
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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11 Jun 2018, 18:40
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)
Manager
Joined: 31 Jul 2017
Posts: 196
Location: Tajikistan
Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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12 Jun 2018, 02:44
B
because 3^k can equal to k^3 only if k is 3 = 3^3=3^3.
Senior Manager
Joined: 12 Sep 2017
Posts: 313
Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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16 Mar 2019, 15:38
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!
Intern
Status: when you say,"I can or I can't", Both times you are right!
Joined: 26 Nov 2018
Posts: 31
Location: India
Re: For how many integers k is k^3 = 3^k ?  [#permalink]

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19 Mar 2019, 03:56
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
Re: For how many integers k is k^3 = 3^k ?   [#permalink] 19 Mar 2019, 03:56
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