If x and y are positive integers and \(x^y =x^{2y-3} \) what is the value of \(x^y\)?
(1) \(x=2\)
(2) \(x^3=8\)
[spoiler]OA=D[/spoiler]
Source: Veritas Prep
If x and y are positive integers and
This topic has expert replies
-
- Legendary Member
- Posts: 1622
- Joined: Thu Mar 01, 2018 7:22 am
- Followed by:2 members
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Statement 1: x=2Gmat_mission wrote:If x and y are positive integers and \(x^y =x^{2y-3} \) what is the value of \(x^y\)?
(1) \(x=2\)
(2) \(x^3=8\)
\(2^y =2^{2y-3} \)
Since each side has the same base, the two exponents must be equal:
y = 2y-3
3 = y
Since the values of x and y are known, the value of \(x^y\) can be determined.
SUFFICIENT.
Statement 2:
Thus, x=2.
Same information as in Statement 1.
Since Statement 1 is sufficient, so is Statement 2.
SUFFICIENT.
The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3