SOLUTION: Find the exact solution and the decimal solution: log(x^2+6)-log(x+1)=2+log(x-1)

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Question 879102: Find the exact solution and the decimal solution:
log(x^2+6)-log(x+1)=2+log(x-1)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28x%5E2%2B6%29%2F%28x%2B1%29%29-log%28x-1%29=2
log%28%28%28x%5E2%2B6%29%2F%28x%5E2-1%29%29%29=2
BASE TEN:
10%5E2=%28x%5E2%2B6%29%2F%28x%5E2-1%29
x%5E2%2B6=100%28x%5E2-1%29
x%5E2%2B6=100x%5E2-100
6=99x%5E2-100
99x%5E2=106
x%5E2=106%2F99
x=0%2B-+sqrt%28106%29%2F%283sqrt%2811%29%29
x=0%2B-+sqrt%28106%2A11%29%2F%283%2A11%29, rationalized denominator
highlight%28x=0%2B-+sqrt%281166%29%2F33%29