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Please tell me shortcut to solve this...

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Source: — Problem Solving |
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by mayonnai5e » Tue Mar 03, 2009 1:23 am
Moved to PS section...
https://www.beatthegmat.com/my-blog-erro ... t4899.html
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by DanaJ » Tue Mar 03, 2009 1:39 am
Check this out:

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