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saurabhmahajan: Master | Next Rank: 500 Posts; Posts: 250; Joined: Thu Jan 07, 2010 2:21 am; Thanked: 10 times

by saurabhmahajan » Wed Sep 22, 2010 7:11 am

How to solve this ?

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Thanks and regards,
Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.

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Source: Beat The GMAT — Problem Solving | Wed Sep 22, 2010 7:11 am

nithi_mystics: Senior | Next Rank: 100 Posts; Posts: 55; Joined: Mon Sep 07, 2009 9:11 pm; Location: California; Thanked: 4 times

by nithi_mystics » Wed Sep 22, 2010 7:46 am

5^21 * 4^11 = 2 * 10^n

LHS :

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

Thanks
Nithi

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