How do you solve ln x = 0.5 ?

To solve the equation ln x = 0.5, you need to use the properties of logarithms. The natural logarithm function, denoted as ln, is the inverse of the exponential function with base e.

Steps to Solve

• Start by rewriting the equation in exponential form. Since ln x = 0.5, you can express this as:
• x = e^0.5

Calculating the Value

Now, calculate e^0.5. The value of e is approximately 2.71828, so:

• x ≈ 2.71828^0.5 ≈ 1.64872

Final Answer

The solution to the equation ln x = 0.5 is approximately x ≈ 1.64872.