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

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Math Expert
Joined: 02 Aug 2009
Posts: 7764
if 3^x+3^x+3^x=3^21, what is x  [#permalink]

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18 Dec 2017, 01:24
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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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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. $$x = 20$$

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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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