You can
put this solution on YOUR website!Apply "log rules":
log3x+log(x+2)=1
log(3x)(x+2)=1
(3x)(x+2)=10^1
3x^2+6x=10
3x^2+6x-10=0
Solve using the quadratic equation:
x = {1.082, -3.082}
We can toss out the negative solution leaving:
x = 1.082
.
Details of quadratic to follow:
.
| 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=156 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 1.08166599946613, -3.08166599946613.
Here's your graph:
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