Solve \( e^{x}-3 x=0 \)

To solve the equation \( e^{x}-3 x=0 \), we can rewrite it as \( e^{x} = 3x \). This is a transcendental equation, which means it cannot be solved algebraically. However, we can use numerical methods or graphical approaches to find the solution. A good starting point is to plot the functions \( y = e^{x} \) and \( y = 3x \) to see where they intersect. By using methods like the Newton-Raphson method or even trial and error, you will find that one of the solutions is approximately \( x \approx 1.512 \).