GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 Sep 2018, 02:14

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

If 5^x = 5^(3x), what is the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49437
If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 06 Jan 2017, 03:05
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

79% (00:38) correct 21% (00:26) wrong based on 98 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 08 Feb 2015
Posts: 13
GMAT 1: 650 Q46 V34
GMAT 2: 620 Q45 V30
GMAT 3: 700 Q45 V40
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 06 Jan 2017, 03:16
Bunuel wrote:
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.



Though 5^x = 5^(3x) can not be solved algebraically, the equality holds true when x = 0 in which case 1 = 1.
Manager
Manager
User avatar
S
Status: Preparing for GMAT!!
Joined: 11 Oct 2015
Posts: 135
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 660 Q47 V34
GMAT 2: 700 Q48 V38
GPA: 3.1
WE: General Management (Entertainment and Sports)
GMAT ToolKit User Premium Member
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 06 Jan 2017, 07:53
Bases are equal, so exponents must be equal
3x=x => x=0

B.

Sent from my SM-G935F using GMAT Club Forum mobile app
_________________

Yours,
Siva Rama Krishna Meka :)

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4033
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 06 Jan 2017, 08:23
Bunuel wrote:
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.


\(5^x = 5^{3x}\)

So, \(x = 3x\)

Thus, the only possible answer to the above is only when x = 0

Hence, answer will be (B) 0

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Intern
avatar
B
Joined: 20 Jun 2016
Posts: 5
Location: India
Concentration: Entrepreneurship, Strategy
GPA: 3.1
WE: Marketing (Manufacturing)
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 07 Jan 2017, 03:31
ANS B
PUTTING THE VALUES IN THE EQUATION AND FINDING THE ANSWER.
5^X=5^3X X=0 1=1
_________________

I'm just a happy camper! Rockin' and a-rollin'!

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3528
Location: United States (CA)
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 09 Jan 2017, 10:36
Bunuel wrote:
If 5^x = 5^(3x), what is the value of x?

A. –1
B. 0
C. 1
D. 3
E. It cannot be determined from the information given.


Recall that if a^m = a^n, and a is not equal to -1, 0, or 1, then m = n. In other words, if the bases are equal (as long as the base is not -1, 0, or 1), then the exponents are equal. Thus, we can drop the base 5 and set x = 3x. The only value that satisfies the equation is x = 0.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Manager
User avatar
G
Status: Quant Expert Q51
Joined: 02 Aug 2014
Posts: 65
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 11 Apr 2017, 01:16
If 5^x = 5^(3x), then x = 3x so 2x=0 => x=0 Ans. B
_________________

Cours particuliers de GMAT

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8175
Premium Member
Re: If 5^x = 5^(3x), what is the value of x?  [#permalink]

Show Tags

New post 30 Jun 2018, 20:38
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If 5^x = 5^(3x), what is the value of x? &nbs [#permalink] 30 Jun 2018, 20:38
Display posts from previous: Sort by

If 5^x = 5^(3x), what is the value of x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.