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log(3,x)*log3(3x^2)=1 equation

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Numerical solution:

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The solution

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