SOLUTION: Solve log base 6 of x + log base 6 of (x+16)=2

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Question 426442: Solve log base 6 of x + log base 6 of (x+16)=2
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution;logx +log(x+16)=log36 because log base 6 of 36 is equal 2.
Now base on the logarithm properties we write:
log x(x+16)=log36 => x(x+16)=36 => x%5E2%2B16x-36=0
The roots of this equation are: x=%28-16%2B-+4sqrt%287%29%29%2F2
+x=-8%2B-+2%2Asqrt%287%29
Answer: The solution set is the empty set because the two roots are negative.