SOLUTION: May i please ask for some help to solve the following logarithm question by solving 'x'? log6 x + log6(x+5)= 2

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Question 811241: May i please ask for some help to solve the following logarithm question by solving 'x'?
log6 x + log6(x+5)= 2
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2Cx%29%2Blog%286%2C%28x%2B5%29%29=2
adding 2 logs together is the same as the product of the log.
loga%2Blogb=logab
log%286%2Cx%29%2Blog%286%2C%28x%2B5%29%29=2
log%286%2Cx%28x%2B5%29%29=2
turn the log into an exponential.
log%28a%2Cc%29=b
a%5Eb=c
log%286%2Cx%28x%2B5%29%29=2
6%5E2=x%28x%2B5%29
36=x%5E2%2B5x
x%5E2%2B5x-36=0
now simply factor
%28x%2B9%29%28x-4%29=0
x=-9,4