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

 It is currently 19 Oct 2019, 02:58

### 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

# Find the number of solutions of following equation-: ||x|-6|=2^x

Author Message
TAGS:

### Hide Tags

Director
Joined: 19 Oct 2018
Posts: 981
Location: India
Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 05:29
1
12
00:00

Difficulty:

95% (hard)

Question Stats:

11% (01:56) correct 89% (01:58) wrong based on 98 sessions

### HideShow timer Statistics

Find the number of solutions of following equation-:
$$||x|-6|=2^x$$

A. 0
B. 1
C. 2
D. 3
E. 4
Senior Manager
Joined: 30 Sep 2017
Posts: 380
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40
GPA: 3.8
WE: Engineering (Real Estate)
Re: Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 18:25
7
2
Nice question.

I think graphical solution is fastest and most painless to solve this. Check my solution

+1 kudo is appreciated

Posted from my mobile device
Attachments

IMG_20190905_092154.jpg [ 411.68 KiB | Viewed 1213 times ]

##### General Discussion
Manager
Joined: 17 Jul 2017
Posts: 194
Re: Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 07:51
1
nick1816 wrote:
Find the number of solutions of following equation-:
$$||x|-6|=2^x$$

A. 0
B. 1
C. 2
D. 3
E. 4

only x=2 satisfies so answer should be B i think

PFA the image

I am not clear on how to check for fractions in these equations.
Attachments

IMG20190904201317 (1).jpg [ 3.72 MiB | Viewed 1339 times ]

Manager
Joined: 17 Jul 2017
Posts: 194
Re: Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 20:30
chondro48 wrote:
Nice question.

I think graphical solution is fastest and most painless to solve this. Check my solution

+1 kudo is appreciated

Posted from my mobile device

can u explain the last graph ,how did u find intersecting point of 2^x nd other graph
Intern
Joined: 20 Jul 2019
Posts: 38
Re: Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 20:51
chondro48 wrote:
Nice question.

I think graphical solution is fastest and most painless to solve this. Check my solution

+1 kudo is appreciated

Posted from my mobile device

Can you explain the fourth graph breifly
Senior Manager
Joined: 30 Sep 2017
Posts: 380
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40
GPA: 3.8
WE: Engineering (Real Estate)
Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

04 Sep 2019, 21:02
1
vanam52923 wrote:
can u explain the last graph ,how did u find intersecting point of 2^x nd other graph

Hi Peddi and vanam52923

That's the characteristic of line y=2^x that the line increases exponentially --if X goes further to the right-- and decreases slowly --if Z goes to the left--, but Y is never negative and not even touches 0. Therefore, the line y=2^x will eventually intersect TWICE with the absolute line (points A and B) on negative X range.

Draw both lines on you sketch and you may understand better what I mean above
Intern
Joined: 28 Aug 2019
Posts: 3
Re: Find the number of solutions of following equation-: ||x|-6|=2^x  [#permalink]

### Show Tags

14 Sep 2019, 05:54
1
This one is completely over my head I tend to use more sophisticated and simple approaches (the methodical apporach) Can I have your take on this one? Bunuel

Posted from my mobile device
Re: Find the number of solutions of following equation-: ||x|-6|=2^x   [#permalink] 14 Sep 2019, 05:54
Display posts from previous: Sort by