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
For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Ian Stewart
- GMAT Instructor
- Posts: 2621
- Joined: Mon Jun 02, 2008 3:17 am
- Location: Montreal
- Thanked: 1090 times
- Followed by:355 members
- GMAT Score:780
16a = 32^b
(2^4)a = (2^5)^b
(2^4)a = 2^(5b)
a = 2^(5b) / 2^4
a = 2^(5b - 4)
(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
ianstewartgmat.com
ianstewartgmat.com