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lg(3x^2)=lg(2*x+1) equation

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Numerical solution:

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The solution

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log\3*x / = log(2*x + 1)
$$\log{\left(3 x^{2} \right)} = \log{\left(2 x + 1 \right)}$$
The graph
Rapid solution [src]
x1 = -1/3
$$x_{1} = - \frac{1}{3}$$
x2 = 1
$$x_{2} = 1$$
x2 = 1
Sum and product of roots [src]
sum
1 - 1/3
$$- \frac{1}{3} + 1$$
=
2/3
$$\frac{2}{3}$$
product
-1/3
$$- \frac{1}{3}$$
=
-1/3
$$- \frac{1}{3}$$
-1/3
Numerical answer [src]
x1 = -0.333333333333333
x2 = 1.0
x2 = 1.0