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3^lg(x)=1458-x^lg(3) equation

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Numerical solution:

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The solution

You have entered [src]
 log(x)           log(3)
3       = 1458 - x      
$$3^{\log{\left(x \right)}} = 1458 - x^{\log{\left(3 \right)}}$$
The graph
Sum and product of roots [src]
sum
 6
e 
$$e^{6}$$
=
 6
e 
$$e^{6}$$
product
 6
e 
$$e^{6}$$
=
 6
e 
$$e^{6}$$
exp(6)
Rapid solution [src]
      6
x1 = e 
$$x_{1} = e^{6}$$
x1 = exp(6)
Numerical answer [src]
x1 = 403.428793492735
x1 = 403.428793492735