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

 It is currently 17 Feb 2019, 18:28

### 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

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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Valentine's day SALE is on! 25% off.

February 18, 2019

February 18, 2019

10:00 PM PST

11:00 PM PST

We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

# If (7^(3/4))^n = 7, what is the value of n?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52906
If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

### Show Tags

08 Oct 2018, 01:59
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:31) correct 7% (02:09) wrong based on 70 sessions

### HideShow timer Statistics

If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

_________________
Director
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

### Show Tags

08 Oct 2018, 02:03
Bunuel wrote:
If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

7^(3/4)^n = 7^1
7^(3/4*n) = 7^1

(3/4)*n = 1
n = 4/3

Posted from my mobile device
Manager
Joined: 10 Jan 2013
Posts: 171
Location: India
Concentration: General Management, Strategy
GMAT 1: 600 Q43 V30
GPA: 3.95
Re: If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

### Show Tags

08 Oct 2018, 02:05
The logic is that 7^x will be 7 when x=1.

So C

Posted from my mobile device
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4383
Location: India
GPA: 3.5
If (7^(3/4))^n = 7, what is the value of n?  [#permalink]

### Show Tags

08 Oct 2018, 07:55
Bunuel wrote:
If $$(7^{\frac{3}{4}})^n = 7$$, what is the value of n?

(A) 1/3

(B) 2/3

(C) 4/3

(D) 5/3

(E) 6/3

$$(7^{\frac{3}{4}*\frac{4}{3}}) = 7$$, Hence 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 )

If (7^(3/4))^n = 7, what is the value of n?   [#permalink] 08 Oct 2018, 07:55
Display posts from previous: Sort by