Speed Solve

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Speed Solve

by avada » Sun Sep 16, 2012 1:35 pm
Whats the quickest way to solve this?
5^21x4^11= 2x10^n

answer:21


this is from the Gmac practice test
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by GMATGuruNY » Sun Sep 16, 2012 3:35 pm
avada wrote:Whats the quickest way to solve this?
5^21x4^11= 2x10^n

answer:21


this is from the Gmac practice test
5²¹ * 4¹¹ = 2 * 10^n
5²¹ * 4¹¹ = 2 * 2^n * 5^n.

Since the lefthand side has 5²¹, so must the righthand side.
Thus, n=21.
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