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
Found 2 solutions by Gogonati, MathTherapy:
Answer by Gogonati(855) (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 =>
The roots of this equation are:

Answer: The solution set is the empty set because the two roots are negative.

Answer by MathTherapy(10705) (Show Source):
You can put this solution on YOUR website!

Solve log base 6 of x + log base 6 of (x+16)=2 The other person is WRONG!! The solution set is NOT . Correct x-values are 2 and - 18, of which - 18 should be IGNORED, since it's an EXTRANEOUS solution!! Equation to be solved: , which factors to (x - 2)(x + 18) = 0 You can do the check to CONFIRM!