Last visit was: 24 Apr 2026, 10:40 It is currently 24 Apr 2026, 10:40
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,814
Own Kudos:
811,034
 [3]
Given Kudos: 105,873
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,034
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
Nikkb
User avatar
Current Student
Joined: 02 Jul 2017
Last visit: 08 Jan 2024
Posts: 226
Own Kudos:
318
 [1]
Given Kudos: 70
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
sahilsnpt
Joined: 19 Jun 2017
Last visit: 24 Nov 2024
Posts: 45
Own Kudos:
Given Kudos: 387
Location: India
GPA: 3.23
Posts: 45
Kudos: 36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
niks18
User avatar
Retired Moderator
Joined: 25 Feb 2013
Last visit: 30 Jun 2021
Posts: 862
Own Kudos:
Given Kudos: 54
Location: India
GPA: 3.82
Products:
Posts: 862
Kudos: 1,805
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sahilsnpt
Nikkb
If \(y^{3x}=5^x\) and y is a positive number, what is x?

\(y^{3x}=5^x\)
=> \((y^3)^x=5^x\)
=> \(y^3=5\)
=> \(y=5^\frac{1}{3}\)

(1) \(y= \sqrt[3]5\)
=> \(y^3 = 5\)
This is already given in question stem. As no detail about x given.
Insufficient

(2) \(y^x=5^\frac{x}{3}\)
=> \(y^x=(5^\frac{1}{3})^x\)
=> \(y=5^\frac{1}{3}\)
This is already given in question stem. As no detail about x given.
Insufficient

1+2
Here also we don't get any information about x

Answer: E
Why can't we use the information given in the statement 1 and substitute it in the stem "y"??

Hi sahilsnpt

our objective is to find the value of x and as explained in the above solution both statement 1 & the question stem gives the same information. So it will not lead to any solution. Just for practice, try substituting the value of y from statement 1 in the question stem and see if you are getting any value for x
User avatar
sahilsnpt
Joined: 19 Jun 2017
Last visit: 24 Nov 2024
Posts: 45
Own Kudos:
Given Kudos: 387
Location: India
GPA: 3.23
Posts: 45
Kudos: 36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
niks18
sahilsnpt
Nikkb
If \(y^{3x}=5^x\) and y is a positive number, what is x?

\(y^{3x}=5^x\)
=> \((y^3)^x=5^x\)
=> \(y^3=5\)
=> \(y=5^\frac{1}{3}\)

(1) \(y= \sqrt[3]5\)
=> \(y^3 = 5\)
This is already given in question stem. As no detail about x given.
Insufficient

(2) \(y^x=5^\frac{x}{3}\)
=> \(y^x=(5^\frac{1}{3})^x\)
=> \(y=5^\frac{1}{3}\)
This is already given in question stem. As no detail about x given.
Insufficient

1+2
Here also we don't get any information about x

Answer: E
Why can't we use the information given in the statement 1 and substitute it in the stem "y"??

Hi sahilsnpt

our objective is to find the value of x and as explained in the above solution both statement 1 & the question stem gives the same information. So it will not lead to any solution. Just for practice, try substituting the value of y from statement 1 in the question stem and see if you are getting any value for x
No,I am not getting any solution of X.Thank you for the explanation!
Moderators:
Math Expert
109814 posts
498 posts
212 posts