Last visit was: 18 Jul 2025, 16:56 It is currently 18 Jul 2025, 16:56
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 Level|   Algebra|   Exponents|         
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Jul 2025
Posts: 102,619
Own Kudos:
742,548
 [11]
Given Kudos: 98,235
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,619
Kudos: 742,548
 [11]
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 12:02
2
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (00:57) correct 13% (01:05) wrong based on 846 sessions

History

Date
Time
Result
Not Attempted Yet
If x and y are positive integers and \(x^y = x^{(2y – 3)}\), what is the value of \(x^y\)?

(1) \(x = 2\)

(2) \(x^3 = 8\)
ShowHide Answer
Official Answer
D
User avatar
pushpitkc
User avatar
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,819
Own Kudos:
5,874
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,819
Kudos: 5,874
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 12:12
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1. If x=2, we can say that 2^y = 2^{2y-3}. This is possible only if y=3. Hence sufficient.

2. X^3 = 8 or x=2
Hence sufficient.(Option D)

Sent from my LG-H818 using GMAT Club Forum mobile app
User avatar
Sirakri
User avatar
Current Student
Joined: 11 Oct 2015
Last visit: 13 Jul 2023
Posts: 108
Own Kudos:
58
 [1]
Given Kudos: 109
Status:Preparing for GMAT!!
Location: India
Concentration: Entrepreneurship, International Business
Schools: Molson '20 (A) ISB '19 (D) Babson '20 (A$) Olin '20 (D) Schulich Sept 18 Intake (WL)
GMAT 1: 660 Q47 V34
GMAT 2: 700 Q48 V38
GPA: 3.1
WE:General Management (Media/Entertainment)
Schools: Molson '20 (A) ISB '19 (D) Babson '20 (A$) Olin '20 (D) Schulich Sept 18 Intake (WL)
GMAT 2: 700 Q48 V38
Posts: 108
Kudos: 58
 [1]
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 12:14
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers and \(x^y = x^{(2y – 3)}\), what is the value of \(x^y\)?

(1) \(x = 2\)

(2) \(x^3 = 8\)

\(x^y = x^{(2y – 3)}\)

\(y=2y-3\)

\(y=3\)

We need the value of x to find \(x^y\)

(1) \(x = 2\)

Sufficient.

(2) \(x^3 = 8\)

\(x=2\)

Sufficient.

D IMO.
User avatar
ishaan.wares
User avatar
Joined: 14 May 2015
Last visit: 25 Mar 2018
Posts: 27
Own Kudos:
24
Given Kudos: 2
Posts: 27
Kudos: 24
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 14:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
x^y = x^(2y – 3)
=>y=2y-3
=>y=3
option:1(x=2)
x^y=2^3=8
sufficient

option:2(x^3=8 or x^3=2^3 or x=2)
x^y=2^3=8
sufficient
answer : D
avatar
sealberg
avatar
Joined: 23 Aug 2016
Last visit: 29 May 2018
Posts: 45
Own Kudos:
14
Given Kudos: 1
Posts: 45
Kudos: 14
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 19:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1. x=2. Sufficient, as we can solve for one answer for y, and hence can solve for x^y.
2. x^3=8. Sufficient, as x=+/- 2, though the stem tells us x>0, and as such we can solve for x^y in the same was as Statement 1.
Answer D
User avatar
mohshu
User avatar
Joined: 21 Mar 2016
Last visit: 26 Dec 2019
Posts: 426
Own Kudos:
133
Given Kudos: 103
Products:
My Reviews
Posts: 426
Kudos: 133
If x and y are positive integers and x^y = x^(2y – 3), what is the 01 May 2017, 22:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
both the statements give the same info

x = 2...

stem says : x^y = x^(2y – 3)
implies ---- y=2y-3
y = 3

hence ans D
User avatar
Nunuboy1994
User avatar
Joined: 12 Nov 2016
Last visit: 24 Apr 2019
Posts: 559
Own Kudos:
122
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
Posts: 559
Kudos: 122
If x and y are positive integers and x^y = x^(2y – 3), what is the 20 May 2017, 08:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If x and y are positive integers and \(x^y = x^{(2y – 3)}\), what is the value of \(x^y\)?

(1) \(x = 2\)

(2) \(x^3 = 8\)

In order to solve this question we just need to know what X equals so we can set the equations , which are exponents, equal.

Statement 1 does just that- x= 2 so we can set the equations equal. Suff

Statement 2 does not give us X^1 in simplest form, but if we take the cube root of 8 then we can see that x is 2. Suff
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,455
Own Kudos:
1,013
Posts: 37,455
Kudos: 1,013
If x and y are positive integers and x^y = x^(2y – 3), what is the 28 Mar 2023, 04:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
102619 posts
kingbucky
454 posts