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if 3^x+3^x+3^x=3^21, what is x

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Math Expert
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D
Joined: 02 Aug 2009
Posts: 5536

Kudos [?]: 6450 [0], given: 122

if 3^x+3^x+3^x=3^21, what is x [#permalink]

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New post 18 Dec 2017, 00:24
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (00:22) correct 21% (00:17) wrong based on 62 sessions

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If \(3^x+3^x+3^x=3^{21}\), what is x?

(A) 1
(B) 3
(C) 7
(D) 20
(E) 21
[Reveal] Spoiler: OA

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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Kudos [?]: 6450 [0], given: 122

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G
Joined: 08 Jul 2010
Posts: 1914

Kudos [?]: 2479 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
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Re: if 3^x+3^x+3^x=3^21, what is x [#permalink]

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New post 18 Dec 2017, 04:37
chetan2u wrote:
If \(3^x+3^x+3^x=3^{21}\), what is x?

(A) 1
(B) 3
(C) 7
(D) 20
(E) 21


\(3^x+3^x+3^x=3^{21}\)

i.e. \(3^x(1+1+1)=3^{21}\)

i.e. \(3^x*3=3^{21}\)

i.e. \(3^{x+1}=3^{21}\)

i.e. \(x+1 = 21\)

i.e. \(x = 20\)

ANswer: OPtion D
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Kudos [?]: 2479 [0], given: 51

Re: if 3^x+3^x+3^x=3^21, what is x   [#permalink] 18 Dec 2017, 04:37
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