SOLUTION: log2(x-1)+log2(x+10=3

Question 311578: log2(x-1)+log2(x+10=3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I'll assume you meant log base 2:

Solve by applying the quadratic formula. Doing so yields:
x = {1.685, -10.685}
The negative solution is an extraneous solution leaving:
x = 1.685
Details of quadratic follows:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=153 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.68465843842649, -10.6846584384265. Here's your graph:

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