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

It is currently 25 Sep 2018, 20:03

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 m=9^(x−1), then in terms of m, 3^(4x−2)

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

Hide Tags

Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 426
If m=9^(x−1), then in terms of m, 3^(4x−2)  [#permalink]

Show Tags

New post 03 Jun 2014, 14:20
5
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

59% (01:59) correct 41% (02:25) wrong based on 171 sessions

HideShow timer Statistics

If m=9^(x−1), then in terms of m, 3^(4x−2) must be which of the following?

A) m/3
B) 9m
C) 9m^2
D) m^2/3
E) m^2/9
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49496
Re: If m=9^(x−1), then in terms of m, 3^(4x−2)  [#permalink]

Show Tags

New post 03 Jun 2014, 14:38
3
2
General Discussion
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1834
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If m=9^(x−1), then in terms of m, 3^(4x−2)  [#permalink]

Show Tags

New post 03 Jun 2014, 20:44
4
\(m = 9^{x-1}\)

\(m = 3^{2(x-1)}\)

\(m = 3^{2x - 2}\)

\(9m = 3^{2x}\)

Squaring both sides

\(81m^2 = 3^{4x}\)

Dividing both sides by 9

\(9m^2 = 3^{4x-2}\)

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 389
Re: If m=9^(x−1), then in terms of m, 3^(4x−2)  [#permalink]

Show Tags

New post 05 Nov 2016, 20:50
For this question I used a hypothetical value of x --> say x=3

m=9^(3-1) = 9^2 = 3^4

Plugging that same value of x into the new equation will give us --> 3^[(4)(3)-2]=3^10

The only choice where m can be transformed into 3^10 is C.
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 m=9^(x−1), then in terms of m, 3^(4x−2)  [#permalink]

Show Tags

New post 08 Jul 2018, 08:31
goodyear2013 wrote:
If m=9^(x−1), then in terms of m, 3^(4x−2) must be which of the following?

A) m/3
B) 9m
C) 9m^2
D) m^2/3
E) m^2/9

\(m=9^{x−1}\)

If \(x = 2 ; \ m = 9^1 = 9\)

Hence, \(3^{4x−2}\) \(= 3^4 = 81\)

Thus, in terms of \(m\), \(3^{4x−2}\) must be (C) \(9m^2\) , Answer must be (C)
_________________

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 )

GMAT Club Bot
Re: If m=9^(x−1), then in terms of m, 3^(4x−2) &nbs [#permalink] 08 Jul 2018, 08:31
Display posts from previous: Sort by

If m=9^(x−1), then in terms of m, 3^(4x−2)

  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®.