SOLUTION: How do you simplify this logarithmic function? \log_6 (\frac{216^x}{1296^x})\log_x6

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Question 1206411: How do you simplify this logarithmic function?
\log_6 (\frac{216^x}{1296^x})\log_x6

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
assuming you are given:











Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Starting expression is

     . .


First factor is 

     =  = -x.


Second factor is 

     = .


The product of two factors is  -.


ANSWER.  The simplified expression is  -.

Solved.



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