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)   (Show Source): You can put this solution on YOUR website!
 
Hi,
log4(x-6)+log4(x-6)=3


( 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

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