1 - ln(x) - 2x^2 = 0
You asked:
Solve the equation \(1 - \ln\left( x \right) - 2 {x}^{2} = 0\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = e^{1 - \frac{W\left(4 e^{2}\right)}{2}} \approx 0.78717856\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).
\(W\) is the Lambert \(W\) function, defined as the multivalued inverse function of \(f(w) = we^w\) for any complex number \(w\).