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

It is currently 16 Aug 2018, 08:59

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 16^(2x+3) = 8^(x-1), what is the value of x?

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

Hide Tags

VP
VP
User avatar
D
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1214
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge CAT Tests
If 16^(2x+3) = 8^(x-1), what is the value of x?  [#permalink]

Show Tags

New post 13 Jul 2018, 10:02
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:20) correct 17% (00:40) wrong based on 30 sessions

HideShow timer Statistics

If \(16^{2x+3} = 8^{x-1}\) , what is the value of x?

1. -3
2. -1
3. 0
4. 1
5. 3

_________________

"Do not watch clock; Do what it does. KEEP GOING."

RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 421
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
Re: If 16^(2x+3) = 8^(x-1), what is the value of x?  [#permalink]

Show Tags

New post 13 Jul 2018, 10:14
\(16^{2x+3} = 8^{x-1}\)

=> \(2^{4(2x+3)} = 2^{3(x-1)}\)

Since the bases are equal, the exponents must be equal

=> \(4(2x + 3) = 3(x-1)\)

=> \(8x + 12 = 3x - 3\)

=> \(5x = -15\)

=> \(x = -3\)

Hence option A
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

Senior Manager
Senior Manager
User avatar
G
Joined: 24 Aug 2016
Posts: 278
Location: India
Concentration: Entrepreneurship, Operations
GMAT 1: 540 Q49 V16
GMAT 2: 640 Q47 V31
GPA: 3.4
Reviews Badge CAT Tests
Re: If 16^(2x+3) = 8^(x-1), what is the value of x?  [#permalink]

Show Tags

New post 13 Jul 2018, 10:17
AkshdeepS wrote:
If \(16^{2x+3} = 8^{x-1}\) , what is the value of x?

1. -3
2. -1
3. 0
4. 1
5. 3



\(16^{2x+3} = 8^{x-1}\)
or, \(2^{4(2x+3)} = 2^{3(x-1)}\)

Hence , \(4(2x+3) = 3(x-1)\)
or, \(8x+12 = 3x-3\)
or, \(5x = -15\)
or, \(x = -3\)...................Hence I would go for option A.
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: If 16^(2x+3) = 8^(x-1), what is the value of x? &nbs [#permalink] 13 Jul 2018, 10:17
Display posts from previous: Sort by

If 16^(2x+3) = 8^(x-1), what is the value of x?

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

Events & Promotions

PREV
NEXT


cron

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®.