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2^x + 2^(x+3)=6^2*2^18. What is the value of x?

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V
Joined: 02 Sep 2009
Posts: 43831
2^x + 2^(x+3)=6^2*2^18. What is the value of x? [#permalink]

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New post 01 Mar 2017, 00:58
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (01:12) correct 10% (02:19) wrong based on 50 sessions

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Senior Manager
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Joined: 19 Apr 2016
Posts: 275
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
2^x + 2^(x+3)=6^2*2^18. What is the value of x? [#permalink]

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New post 01 Mar 2017, 01:27
Bunuel wrote:
\(2^x + 2^{(x+3)}=6^2*2^{18}\). What is the value of x?

A. 18
B. 20
C. 21
D. 22
E. 24


\(2^x + 2^{(x+3)} = 6^2*2^{18}\)
\(2^x*(1 + 2^3) = (3*2)^2*2^{18}\)
\(2^x*(9) = (9)^2*2^{20}\)
\(2^x = 2^{20}\)

x=20

Hence option B is correct
Hit Kudos if you liked it 8-)
2^x + 2^(x+3)=6^2*2^18. What is the value of x?   [#permalink] 01 Mar 2017, 01:27
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2^x + 2^(x+3)=6^2*2^18. What is the value of x?

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