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Value of n

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by prateek_guy2004 » Fri Sep 02, 2011 12:33 pm
5^21 * 4^11 = 2*10^n

What is the value of n?
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by akhilsuhag » Fri Sep 02, 2011 12:42 pm
is it 2*(10^n) or (2*10)^n
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by akhilsuhag » Fri Sep 02, 2011 12:45 pm
For 5^21 * 4^11 = 2* (10^n)

5^21 * (2^2)^11 = 2* (2*5)^n
5^21 * 2^22 = 2*2^n*5^n
5^21 * 2^22 = 2^(n+1) * 5^n

Compare the two sides: n= 21 (Since 5^21 = 5^n)

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by prateek_guy2004 » Fri Sep 02, 2011 12:59 pm
Thanks akhil....

Great approach.....was confused about it.

Chaw
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