Last visit was: 24 Apr 2026, 13:45 It is currently 24 Apr 2026, 13:45
Home
Messages
Tests
Schools
Events
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
User avatar
Dadeesgurly04
User avatar
Joined: 21 Sep 2005
Last visit: 13 Jul 2006
Posts: 10
Location: California
Posts: 10
Kudos: 0
PS- exponents 07 Jan 2006, 17:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
Hey guys! got the new gmat prep and it doesn't provide explanations for problems. So here goes an easy one that i can't figure out

5^12 x 4^11 = 2 x 10^n

what is n?

Thanks!
DG



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
Professor
User avatar
Joined: 29 Dec 2005
Last visit: 09 Aug 2011
Posts: 562
Own Kudos:
184
Posts: 562
Kudos: 184
PS- exponents 07 Jan 2006, 20:56
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Dadeesgurly04
Hey guys! got the new gmat prep and it doesn't provide explanations for problems. So here goes an easy one that i can't figure out

5^12 x 4^11 = 2 x 10^n. what is n?

Thanks!DG
Show more

is the question complete? guess can be solved using log but as it is not sure..... :roll:
User avatar
vivek123
User avatar
Joined: 14 Dec 2004
Last visit: 03 Jun 2012
Posts: 880
Own Kudos:
1,128
Posts: 880
Kudos: 1,128
PS- exponents 07 Jan 2006, 20:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
5^12 x 4^11 = 2 x 10^n

I arrived till,

2^9 x 10^12 = 10^n

=>512 x 10^12 = 10^n

I don't know how to convert 512 to (10^x) form :?
Is this really simple one?
avatar
pmenon
avatar
Joined: 28 Dec 2005
Last visit: 01 Jul 2009
Posts: 691
Own Kudos:
620
Given Kudos: 2
Posts: 691
Kudos: 620
PS- exponents 07 Jan 2006, 20:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Embarassed to ask this, but vivek, how did you even get that far ?

Im stuck at 5^12*2^22 = 2*10^n :oops:
User avatar
vivek123
User avatar
Joined: 14 Dec 2004
Last visit: 03 Jun 2012
Posts: 880
Own Kudos:
1,128
Posts: 880
Kudos: 1,128
PS- exponents 07 Jan 2006, 21:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pmenon
Embarassed to ask this, but vivek, how did you even get that far ?

Im stuck at 5^12*2^22 = 2*10^n :oops:
Show more


pmenon, I did this...

5^12 x 4^11 = 2 x 10^n
=> 5 x 5 ^ 11 x 4 ^ 11 = 2 x 10^n
=> 5 x (5 x 4) ^ 11 = 2 x 10^n
=> 5 x (20)^11 = 2 x 10^n
=> 5 x (2x10)^11 = 2 x 10^n
=> 5 x 2^11 x 10^11 = 2 x 10^n
=> (5 x 2) x 2^10 x 10^11 = 2 x 10^n
=> 2^10 x 10^12 = 2 x 10^n
=> 2^9 x 10^12 = 10^n (Divide both sides by 2)
=> 512 x 10^12 = 10^n
User avatar
vic
User avatar
Joined: 18 Oct 2005
Last visit: 07 Aug 2017
Posts: 59
Own Kudos:
12
Location: Hong Kong
Posts: 59
Kudos: 12
PS- exponents 08 Jan 2006, 00:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Dadeesgurly04
Hey guys! got the new gmat prep and it doesn't provide explanations for problems. So here goes an easy one that i can't figure out

5^12 x 4^11 = 2 x 10^n

what is n?

Thanks!
DG
Show more


I have seen this question before.. u got a typo error...

it should be 5^21 and not 5^12.
Try using the calculator, 5^12 will not work.

anyway, the solution works on prime factor.
on both sides of equations, the prime factors are 2 and 5.
10^n = 5^n x 2^n
compare the exponential power of 5 on both sides of equation and viola!
User avatar
ps_dahiya
User avatar
Joined: 20 Nov 2005
Last visit: 15 Oct 2019
Posts: 1,486
Own Kudos:
1,238
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Posts: 1,486
Kudos: 1,238
PS- exponents 08 Jan 2006, 06:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think there is some type here...

5^12 x 4^11 = 2 x 10^n
5^12 x 2^22 = 2 x (5*2)^n
5^12 x 2^22 = 2 x 5 ^n * 2^n
5^12 x 2^22 = 5^n * 2^(n+1)

From these two it comes out that n = 12 and n = 21 which is not possible.

If it is 5^21 x 4^11 = 2 x 10^n then answer is 21.

Any comments??
User avatar
Dadeesgurly04
User avatar
Joined: 21 Sep 2005
Last visit: 13 Jul 2006
Posts: 10
Location: California
Posts: 10
Kudos: 0
PS- exponents 09 Jan 2006, 15:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hey vic, you're right it is 5^21
sorry about that. Thanks for the help!!!



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!
Moderator:
Bunuel
Math Expert
109820 posts