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4^2*16^5 = 2^x. What is x?

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Math Expert
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4^2*16^5 = 2^x. What is x?  [#permalink]

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New post 22 Jan 2019, 01:32
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

96% (00:25) correct 4% (02:11) wrong based on 34 sessions

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Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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New post 22 Jan 2019, 01:35
2^4*2^20= 2^x
2^4+20 = 2^x
2^x = 2^24
X = 24

Option E

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Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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New post 22 Jan 2019, 01:38
Bunuel wrote:
\(4^2*16^5 = 2^x\). What is x?

A 7
B 9
C 10
D 20
E 24


Given,

\(4^2*16^5 = 2^x\)

\(2^4 * 2^{4*5} =2^x\)

\(2^{24} = 2^x\)

x = 24.

E is the correct answer.
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Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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New post 22 Jan 2019, 05:00
Bunuel wrote:
\(4^2*16^5 = 2^x\). What is x?

A 7
B 9
C 10
D 20
E 24



solve for expression
we get
x= 24
IMO E
GMAT Club Bot
Re: 4^2*16^5 = 2^x. What is x?   [#permalink] 22 Jan 2019, 05:00
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4^2*16^5 = 2^x. What is x?

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