The conversation between human and AI assistant.
What is the inverse function of f(x) = 2x + ln x?
Can you give an example of how to use the Lambert W function to solve an equation?
Sure! An example is the equation 2x + e^(3x) = 5. We can rewrite it as e^(3x) = 5 - 2x and then take the natural logarithm of both sides to get 3x = ln(5 - 2x). Using the Lambert W function, we can solve for x as x = (1/3)W((5/e^3)).