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

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

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New post 18 Dec 2017, 01:24
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

79% (00:39) correct 21% (00:24) wrong based on 98 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

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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, 05:37
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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Re: if 3^x+3^x+3^x=3^21, what is x   [#permalink] 18 Dec 2017, 05:37
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