SOLUTION: If 512 logarithom is 6 what is base?

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Question 896431: If 512 logarithom is 6 what is base?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
That seems to be asking for this:
highlight_green%28log%28b%2C512%29=6%29, and you want to find b.

512=2%5E9; so you have
log%28b%2C2%5E9%29=6
-
3%2Alog%28b%2C2%29=2
log%28b%2C2%29=2%2F3

b%5E%282%2F3%29=2

%28b%5E%282%2F3%29%29%5E%283%2F2%29=2%5E%283%2F2%29

highlight%28b=2%5E%283%2F2%29%29
which you could convert into sqrt%282%29sqrt%282%29sqrt%282%29
highlight%28highlight%282sqrt%282%29%29%29.