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by cramya » Sat Feb 14, 2009 7:30 pm
5^n > 4 000000

5^n > 4 * 10^6

> 4 * 2^6 * 5^6
> 4^4 * 5^6


n must be alteast 10 since 5^4 > 4^4

Therefore 5^10 > 4^4 * 5^6
5^4 * 5^6 > 4^4 * 5^6
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by dmateer25 » Sat Feb 14, 2009 8:24 pm
4000000 = 2^8 * 5^6

2^8 = 256

so we need 5 to a power that will make the value greater than 256.

5^3 = 125 so that isn't big enough. But 5^4 definitely is.

Therefore, 5^4 * 5^6 (which is 5^10) > 4000000
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