Please tell me shortcut to solve this...

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ramandeepn: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Wed Aug 27, 2008 8:35 am

by ramandeepn » Tue Mar 03, 2009 12:20 am

5 POWER 21 +4 POWER 11= 2+10POWER n. What is the value of n?
( I dont know how to write power of numbers so i wrote this way?)

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mayonnai5e: Legendary Member; Posts: 1018; Joined: Tue Dec 12, 2006 7:19 pmFollowed by: 6 members; Thanked: 86 times

by mayonnai5e » Tue Mar 03, 2009 1:23 am

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DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Tue Mar 03, 2009 1:39 am

Check this out:

https://www.beatthegmat.com/gmatprep-t31987.html

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Baldini: Senior | Next Rank: 100 Posts; Posts: 90; Joined: Mon Mar 02, 2009 6:06 am; Thanked: 3 times

by Baldini » Tue Mar 03, 2009 5:40 am

Thanks Dana, but I still don't get how to do this one using your example...

GMAX

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kamu: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Fri Feb 27, 2009 12:41 amFollowed by: 3 members; Thanked: 44 times

Re: Please tell me shortcut to solve this...

by kamu » Tue Mar 03, 2009 6:59 am

ramandeepn wrote:5 POWER 21 +4 POWER 11= 2+10POWER n. What is the value of n?
( I dont know how to write power of numbers so i wrote this way?)

I think you meant

(5^21)*(4^11) = 2*(10^n).

If yes, then n=21.

2*(10^n) = 2^(n+1) * 5^n

compare LHS and RHS.

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marcusking: Master | Next Rank: 500 Posts; Posts: 106; Joined: Wed Feb 04, 2009 6:09 am; Location: Louisville, KY; Thanked: 8 times

by marcusking » Tue Mar 03, 2009 7:18 am

Baldini wrote:Thanks Dana, but I still don't get how to do this one using your example...

Yeah I think I'm in the same boat.
Here is what I've done so far.

(5^21) + (4^11) = 2 + (10^n)
(5^21) + [(2^2)^11] = 2 + (2^n)*(5^n)
(5^21) + (2^22) = 2 + (2^n)*(5^n)

The plus signs are really throwing me for a loop. Any help?

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DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Wed Mar 04, 2009 1:24 am

I'm pretty sure it's not + signs over there, but rather multiplication signs. + signs would make this problem impossible to solve without a calculator, whilst multiplication signs make it pretty striaghtforward.

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