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lg(4x+3)=lg(x^2)

lg(4x+3)=lg(x^2) equation

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Numerical solution:

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The solution

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                  / 2\
log(4*x + 3) = log\x /
$$\log{\left(4 x + 3 \right)} = \log{\left(x^{2} \right)}$$
The graph
Rapid solution [src]
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x1 = 2 - \/ 7 
$$x_{1} = 2 - \sqrt{7}$$
           ___
x2 = 2 + \/ 7 
$$x_{2} = 2 + \sqrt{7}$$
Sum and product of roots [src]
sum
          ___         ___
0 + 2 - \/ 7  + 2 + \/ 7 
$$\left(\left(2 - \sqrt{7}\right) + 0\right) + \left(2 + \sqrt{7}\right)$$
=
4
$$4$$
product
  /      ___\ /      ___\
1*\2 - \/ 7 /*\2 + \/ 7 /
$$1 \cdot \left(2 - \sqrt{7}\right) \left(2 + \sqrt{7}\right)$$
=
-3
$$-3$$
-3
Numerical answer [src]
x1 = -0.645751311064591
x2 = 4.64575131106459
x2 = 4.64575131106459
The graph
lg(4x+3)=lg(x^2) equation