SOLUTION: Solve the Logarithmic equation log₆x = 1 - log₆(x-5) Thanks!!!

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Question 830412: Solve the Logarithmic equation
log₆x = 1 - log₆(x-5)
Thanks!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2Cx%29=1-log%286%2Cx-5%29
log%286%2Cx%29%2Blog%286%2Cx-5%29=1
log%286%2Cx%28x-5%29%29=1
x%28x-5%29=6
x%5E2-5x-6=0
%28x-6%29%28x%2B1%29=0
Two possible solutions:
x-6=0
x=6
Check with the original equation.
x%2B1=0
x=-1
Not a solution since log%286%2C-1%29 does not exist.