Largest Possible Integer

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by ousek » Tue May 12, 2009 7:18 am
My strategy was :
To get as close as possible to 7^120, I temporary state that n^80=7^120
This makes:
n^80/7^120=1
n^80/(7^(3/2))^80=1
n/7^(3/2)=1

7^3 is easy to calculate: 343.

Hence: n<SQU(343).

:idea: I know that 20^2=400 and 15^2=225.

Thus, my answer is directly B) : 18.


This was a good question. Thank you Dtweah ! :D