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Math Expert V
Joined: 02 Sep 2009
Posts: 59246
4^2*16^5 = 2^x. What is x?  [#permalink]

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Difficulty:   15% (low)

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

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

A 7
B 9
C 10
D 20
E 24

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Intern  B
Joined: 21 Jan 2019
Posts: 7
Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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2^4*2^20= 2^x
2^4+20 = 2^x
2^x = 2^24
X = 24

Option E

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VP  D
Joined: 31 Oct 2013
Posts: 1474
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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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.

GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5316
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: 4^2*16^5 = 2^x. What is x?  [#permalink]

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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 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?   