SOLUTION: Simplify. log (subscript 6) 216^-3

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Question 197349: Simplify.
log (subscript 6) 216^-3
Found 2 solutions by orca, jim_thompson5910:
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Note that 216=6%5E3
So 216%5E-3=%28216%29%5E-3=%286%5E3%29%5E-3=6%5E-9
Therefore:
log(6)216^-3
=log(6)6^-9
=-9

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.


... Rewrite 216 as 6%5E3


... Multiply the exponents.


... Multiply


... Pull down the exponent.


... Evaluate the log base 6 of 6 to get 1


... Multiply


So