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# Exponent problem from MBA.com exam prep

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Intern
Joined: 27 Jun 2018
Posts: 10
Exponent problem from MBA.com exam prep  [#permalink]

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07 Oct 2018, 11:46
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Hi

2^x- 2^x-2= 3(2^13)
Director
Joined: 19 Oct 2013
Posts: 525
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Exponent problem from MBA.com exam prep  [#permalink]

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07 Oct 2018, 12:48
https://gmatclub.com/forum/if-2-x-2-x-2 ... 30109.html

It would be much better if you have included answer choices.

However, please look at the below solution.

2^x - 2^x * 2^-2 = 3 * 2^13

2^x (1 - 2^-2) = 3 * 2^13

2^x (1 - 1/4) = 3 * 2^13

2^x * 3/4 = 3 * 2^13

2^x * 1/4 = 2^13

2^x * 2^-2 = 2^13

Then it becomes 2^(x-2) = 2^13

Equal bases of 2

x - 2 = 13

X = 13 + 2 = 15

I hope this helps out!

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Exponent problem from MBA.com exam prep   [#permalink] 07 Oct 2018, 12:48
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