SOLUTION: Can you help me solve this logarithmic equation step by step log4(x-6)+log4(x-6)=3

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Question 820406: Can you help me solve this logarithmic equation step by step log4(x-6)+log4(x-6)=3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

log4(x-6)+log4(x-6)=3

log%284%2C+%28x-6%29%28x-6%29%29+=+3

    %28x-6%29%28x-6%29+=+4%5E3

    ( x-6)(x-6)= 64

     x^2 - 12x + 36 = 64

     x^2 - 12x - 28 = 0

     (x-14)(x+2) = 0   |(Tossing out x= -2  as (x-6)must be > 0            

          highlight%28+x+=+14%29

CHECKING our answer***

log%284%2C+%288%29%288%29%29+=+3