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

 It is currently 25 Jun 2018, 00:50

### 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 June
Open Detailed Calendar

# If x and y are integers and 3^(x-4) = 3^(y+2), what is y in

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Feb 2012
Posts: 37
If x and y are integers and 3^(x-4) = 3^(y+2), what is y in [#permalink]

### Show Tags

Updated on: 07 Jun 2012, 12:19
1
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:17) correct 9% (00:36) wrong based on 181 sessions

### HideShow timer Statistics

If x and y are integers and 3^(x-4) = 3^(y+2), what is y in terms of x?

A. x - 6
B. x - 5
C. x - 2
D. x + 2
E. x + 6

Originally posted by jsphcal on 06 Jun 2012, 19:16.
Last edited by Bunuel on 07 Jun 2012, 12:19, edited 1 time in total.
Edited the question
Manager
Status: Rising GMAT Star
Joined: 05 Jun 2012
Posts: 126
Location: Philippines
Concentration: General Management, Finance
GPA: 3.22
WE: Corporate Finance (Consulting)
Re: Powerprep: y in terms of x [#permalink]

### Show Tags

06 Jun 2012, 19:26
1
jsphcal wrote:
If x and y are integers and 3^x-^4 = 3^y+^2, what is y in terms of x?

A x - 6
B x - 5
C x - 2
D x + 2
E x + 6

Wait, how do you write down 3^y+^2 ?

Can you use parentheses so it'll be easier to understand.

Thanks
_________________

Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure... than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat.
- T. Roosevelt

Intern
Joined: 27 Feb 2012
Posts: 37
Re: Powerprep: y in terms of x [#permalink]

### Show Tags

06 Jun 2012, 19:27
jsphcal wrote:
If x and y are integers and 3^x-^4 = 3^y+^2, what is y in terms of x?

A x - 6
B x - 5
C x - 2
D x + 2
E x + 6

since the bases are both 3 if i just isolate the exponents

x-4 = y+2 i can add 4 to get x = y+6

so x = y+6

since the question asks what is y in terms of x i can just subtract 6 from right side

so x-6 = y

I didnt take my time and when i attempted in powerprep, no i can see the answer is straight forward
Manager
Joined: 12 May 2012
Posts: 75
Location: India
Concentration: General Management, Operations
GMAT 1: 650 Q51 V25
GMAT 2: 730 Q50 V38
GPA: 4
WE: General Management (Transportation)
Re: Powerprep: y in terms of x [#permalink]

### Show Tags

07 Jun 2012, 03:06
jsphcal wrote:
If x and y are integers and 3^x-^4 = 3^y+^2, what is y in terms of x?

A x - 6
B x - 5
C x - 2
D x + 2
E x + 6

The question seems confusing

is it 3^(x-4) = 3^(y+2)
Math Expert
Joined: 02 Sep 2009
Posts: 46333
Re: If x and y are integers and 3^(x-4) = 3^(y+2), what is y in [#permalink]

### Show Tags

07 Jun 2012, 12:21
Edited the question.

jsphcal wrote:
If x and y are integers and 3^(x-4) = 3^(y+2), what is y in terms of x?

A. x - 6
B. x - 5
C. x - 2
D. x + 2
E. x + 6

$$3^{x-4}=3^{y+2}$$ --> $$x-4=y+2$$ --> $$y=x-6$$.

_________________
Intern
Joined: 04 Apr 2011
Posts: 9
Schools: Sloan '16
Re: If x and y are integers and 3^(x-4) = 3^(y+2), what is y in [#permalink]

### Show Tags

17 Jun 2012, 12:55

3^(x-4) = 3^(y+2)

Since the base is the same, I isolated the equations and solved for y.

x-4 = y+2
y=x-6
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: If x and y are integers and 3^(x-4) = 3^(y+2), what is y in [#permalink]

### Show Tags

01 Aug 2017, 17:12
jsphcal wrote:
If x and y are integers and 3^(x-4) = 3^(y+2), what is y in terms of x?

A. x - 6
B. x - 5
C. x - 2
D. x + 2
E. x + 6

Since both bases are the same, we can drop the bases and equate the exponents:

x - 4 = y + 2

x - 6 = y

_________________

Jeffery Miller

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

Re: If x and y are integers and 3^(x-4) = 3^(y+2), what is y in   [#permalink] 01 Aug 2017, 17:12
Display posts from previous: Sort by