SOLUTION: I need help understanding a few problems. Evaluate: log6 216 & Evaluate: log2 512 Thank you for your help greatly appreciated!

Question 602500: I need help understanding a few problems. Evaluate: log6 216 & Evaluate: log2 512 Thank you for your help greatly appreciated!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
log6 216 = log(216)/log(6) = log(6^3)/log(6) = 3*log(6)/log(6) = 3

So $\log_{6}(216) = {\color{red} 3}$

=======================================================

log2 512 = log(512)/log(2) = log(2^9)/log(2) = 9*log(2)/log(2) = 9

So $\log_{2}(512) = {\color{red} 9}$
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