That one is some exponential math with a little to memorize. 2^52=10^x, log(2^52)=log(10^x), 52log(2)=xlog(10), 52log(2)=x. If you just remember that log(2) is about 0.3, you can find that x is 15.6, thus your power is 16. However, this is also where the flaw of rounding up at 5 and not sqrt(10) appears, as 10^15.6 is 4*10^15 and would be Fermi answer 15.Another interesting problem from our regional's test, it's actually not too hard:
If you put 1 cent in a savings account, and it doubles every week, how many pennies will you have at the end of a year?
Get used to the idea of what is reasonable.4 days before competition, I've been thrown in. So... besides lots of constants to be memorized, what else should be on my list of things to do?
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