SOLUTION: solve. log(x^2+3)=log(x+6)

Question 246241: solve.
log(x^2+3)=log(x+6)
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
log(x^2+3)=log(x+6)
10^log(x^2+3)=10^log(x+6)
x^2+3=x+6
x^2-x-3=0
x=(1+sqrt(13))/2, x=(1-sqrt(13))/2
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Ed
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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=13 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.30277563773199, -1.30277563773199. Here's your graph:

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