SOLUTION: log base3 (x+2)+log base3(x-3)=4

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Question 1139093: log base3 (x+2)+log base3(x-3)=4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28x%2B2%29%29%2Blog%283%2C%28x-3%29%29=4
adding logs is multiply
log%283%2C%28%28x%2B2%29%28x-3%29%29%29=4
FOIL
log%283%2C%28x%5E2-x-6%29%29=4
The exponent equiv
x^2-x-6 = 3%5E4
x^2 - x - 6 = 81
x^2 - x - 6 - 81 = 0
x^2 - x - 87 = 0
use the quadratic formula; a=1; b=-1; c=-87
the positive solution only
x = 9.841