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If 2x2y=32, x+y=?

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Math Revolution GMAT Instructor
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If 2x2y=32, x+y=?  [#permalink]

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New post 07 Dec 2016, 01:37
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:32) correct 15% (00:53) wrong based on 128 sessions

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If \(2^x2^y=32\), x+y=?

A. 3 B. 4 C. 5 D. 6 E. 7

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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 07 Dec 2016, 05:45
Answer : C

If we factorise 32 it can be written as 2^2.2^3
So x = 2 and y = 3
Therefore x+y = 5
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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 07 Dec 2016, 08:53
Top Contributor
MathRevolution wrote:
If \(2^x2^y=32\), x+y=?

A. 3
B. 4
C. 5
D. 6
E. 7


\(2^x2^y=32\)

\(2^{x+y}=2^5\)

so, x + y = 5

Answer:

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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 07 Dec 2016, 08:59
MathRevolution wrote:
If \(2^x2^y=32\), x+y=?

A. 3 B. 4 C. 5 D. 6 E. 7


\(2^x2^y = 2^5 = 32\)

Thus, x + y = 5

Hence, answer will be (C) 5...

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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 09 Dec 2016, 01:46
==> From \(2^x2^y=2^x^+^y= 32=2^5\), you get \(x+y=5.\)

Therefore, the answer is C.
Answer: C
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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 10 Dec 2016, 06:29
MathRevolution wrote:
If \(2^x2^y=32\), x+y=?

A. 3 B. 4 C. 5 D. 6 E. 7


Let’s simplify the given equation:

(2^x)(2^y) = 32

2^(x+y) = 2^5

x + y = 5

Answer: C
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Re: If 2x2y=32, x+y=?  [#permalink]

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New post 17 Jul 2017, 10:47
MathRevolution wrote:
If \(2^x2^y=32\), x+y=?

A. 3 B. 4 C. 5 D. 6 E. 7



ANSWER:
=====

2^x.2^y= 32
2x2y=2^5

2^(x+y)= 2^5
x+y=5

ANSWER = C
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Re: If 2x2y=32, x+y=?   [#permalink] 17 Jul 2017, 10:47
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