Natural Logarithm Calculator

The Natural Logarithm Calculator is a mathematical computing tool designed for students, teachers, researchers, and engineering professionals to compute the natural logarithm function value (ln(x)) with base e. This tool not only provides accurate calculation capabilities but also visualizes the graph characteristics of the ln(x) function, helping users intuitively understand the properties of this essential mathematical function.

How to Use the Natural Logarithm Calculator

1. Enter a Value: Input the positive real number you wish to calculate in the input box labeled "ln". For example: enter "2.71828" to compute the approximate value of ln(e).
2. Perform Calculation: Click the "Calculate" button; the system will verify whether the input is a valid positive number.
3. Display Result: The calculated natural logarithm value is displayed in the result box.

Format: 6 decimal places precision. For example: input e ≈ 2.71828, output is 1.000000

Notes

Input Restrictions: Only positive real numbers are accepted. Inputting zero or a negative number will display an error message; non-numeric inputs will be rejected.
Calculation Precision: Internally uses JavaScript's Math.log() function, yielding results with approximately 15-17 significant digits. The interface displays 6 decimal places, but you can copy the result to obtain full precision.
Graph Range: The default display range is x ∈ [0.1, 10]. To examine details in the interval (0, 1], use the interactive graph zoom feature.