SOLUTION: can a logarithm have 2 answers?
I have this equation that says solve for x:
Log base 4 of x + Log base 4 of (x+1) = Log base 4 of (x-1) + Log base 4 of 6
What I usually get
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-> SOLUTION: can a logarithm have 2 answers?
I have this equation that says solve for x:
Log base 4 of x + Log base 4 of (x+1) = Log base 4 of (x-1) + Log base 4 of 6
What I usually get
Log On
Question 867923: can a logarithm have 2 answers?
I have this equation that says solve for x:
Log base 4 of x + Log base 4 of (x+1) = Log base 4 of (x-1) + Log base 4 of 6
What I usually get is one negative solution which is false and one positive solution which is right, this time I got 2 positive answers...
x=2 & x=3
I know x=2 is the right one based on MathWay.com but how?! Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! A quadratic equation will always have two answers, unless it is a perfect square
if you simplify and remove the log since bases are same
we get
x(x+1)=6(x-1)
x^2+x=6x-6
x^2-5x+6=0
x^2-3x-2x+6=0
x(x-3)-2(x-3)=0
(x-2)(x-3)=0
so x=2 OR 3
