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For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?

Expert replies
by BTGmoderatorDC » Sun Jun 06, 2021 4:39 pm

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Answers

A

B

C

D

E

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Difficulty

For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?

A. a = 2^b
B. a = 4^b
C. a = 2^(5b − 4)
D. a = 4^(5b − 4)
E. a = 2^(5b)


OA C

Source: Veritas Prep
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Source: — Problem Solving |

16a = 32^b
(2^4)a = (2^5)^b
(2^4)a = 2^(5b)
a = 2^(5b) / 2^4
a = 2^(5b - 4)
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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