BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

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

by Gmat_mission » Thu May 21, 2020 1:53 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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. \(a = 2^{5b}\)

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

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

by Scott@TargetTestPrep » Mon May 25, 2020 5:14 am
Gmat_mission wrote: ↑
Thu May 21, 2020 1:53 am
 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. \(a = 2^{5b}\)

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
Solution:

16a = 32^b

a = 32^b/16 = (2^5)^b/2^4 = 2^(5b)/2^4 = 2^(5b - 4)

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1