NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 11:56 It is currently 23 Apr 2024, 11:56
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

x)^x]^x = 3*3^1/2 What is the value of x

User avatar
rxs0005
Senior Manager
Senior Manager
Joined: 07 Jun 2004
Posts: 438
Own Kudos [?]: 2827 [0]
Given Kudos: 22
Location: PA
Send PM
x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   25 Jan 2005, 19:21
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
[ (x)^x]^x = 3*3^1/2

What is the value of x



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
nocilis
Senior Manager
Senior Manager
Joined: 19 Nov 2004
Posts: 278
Own Kudos [?]: 1472 [0]
Given Kudos: 0
Location: SF Bay Area, USA
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   25 Jan 2005, 20:02
[ (x)^x]^x = 3*3^1/2

x^(x^2)= 3^1/2* 3^1/2 * 3 ^1/2
= (3^1/2) ^3
= (3^1/2)^ (3^1/2)^2

=> x = 3^1/2
User avatar
praveen_rao7
Senior Manager
Senior Manager
Joined: 25 Jan 2004
Posts: 313
Own Kudos [?]: 69 [0]
Given Kudos: 0
Location: Milwaukee
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   25 Jan 2005, 22:09
I like your approach but I probably would have back solved it if I had to.

Thanks
User avatar
Vijo
Manager
Manager
Joined: 01 Jan 2005
Posts: 76
Own Kudos [?]: 8 [0]
Given Kudos: 0
Location: NJ
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   26 Jan 2005, 18:48
nocilis could you plz explain how you got

x^x^x as x^x^2

4^4 cannot be 4^2?????????????
User avatar
nocilis
Senior Manager
Senior Manager
Joined: 19 Nov 2004
Posts: 278
Own Kudos [?]: 1472 [0]
Given Kudos: 0
Location: SF Bay Area, USA
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   26 Jan 2005, 20:39
Vijo:
I have expanded [ (x)^x]^x and not x^x^x to x^(x^2)
User avatar
Vijo
Manager
Manager
Joined: 01 Jan 2005
Posts: 76
Own Kudos [?]: 8 [0]
Given Kudos: 0
Location: NJ
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   27 Jan 2005, 06:41
Nocilis

I really cannot understand this plz expain...... how did you expand. It wud be great if you could write explaination.

Thanks,
Vijo.
avatar
HongHu
Director
Director
Joined: 03 Jan 2005
Posts: 971
Own Kudos [?]: 769 [0]
Given Kudos: 0
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   27 Jan 2005, 09:14
(x^a)^b=x^(a*b)
For example, (2^2)^3=2^6

So in our case
(x^x)^x=x^(x*x)=x^(x^2)
User avatar
Paul
CEO
CEO
Joined: 15 Dec 2003
Posts: 2709
Own Kudos [?]: 1537 [0]
Given Kudos: 0
Send PM
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink] New post   27 Jan 2005, 09:42
I loved this question. Learn the exponent properties as it could very likely be tested on the GMAT.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: x)^x]^x = 3*3^1/2 What is the value of x [#permalink]
27 Jan 2005, 09:42
Moderators:
Bunuel
Math Expert
92881 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions