Natural Logarithm Calculator

Natural Logarithm Calculator

The natural logarithm calculator is a math tool for students, teachers, researchers, and engineers. It computes the natural logarithm (base e) of a number, ln(x). Besides precise calculation, it visualizes the graph of ln(x) so you can intuitively understand the properties of this important function.

How to Use the Natural Logarithm Calculator?

1. Enter a positive real number in the input box labeled "ln". For example, enter 2.71828 to compute an approximation of ln(e).
2. Click the "Calculate" button. The system verifies that the input is a valid positive number.
3. The result is shown with 6 decimal places in the result box. For example, entering e ≈ 2.71828 outputs 1.000000.

Notes

• Input limit: only positive real numbers are accepted; negative numbers or zero show an error, and non-numeric input is rejected.
• Precision: internally uses JavaScript\'s Math.log(), accurate to about 15-17 significant digits; the interface shows 6 decimal places, and you can copy the full precision.
• Graph range: by default the graph shows x ∈ [0.1, 10]; use the chart\'s zoom interaction to inspect the negative values in the (0, 1] interval.