Natural Logarithm Calculator

This Natural Logarithm Calculator allows users to compute the natural logarithm, its inverse exponential, and both the common and binary logarithms of a positive number with specified decimal precision.

Use Our Natural Logarithm Calculator

How to Use the Natural Logarithm Calculator

Step 1: Enter a Positive Number

Begin by locating the Enter a Positive Number input field on the calculator interface. This field is designed to accept numerical input greater than zero. Enter the number for which you wish to calculate the natural logarithm. Ensure that the number is at least 0.0000001 (1e-07) as per the validation criteria.

Step 2: Choose Decimal Precision

Next, navigate to the Decimal Precision selection field. Here, you have the option to select the level of precision you desire for the calculation results. The options available are:

  • 2 decimal places
  • 4 decimal places
  • 6 decimal places
  • 8 decimal places

Select the appropriate decimal precision based on your requirements or preference.

Step 3: View Calculation Results

After entering the required inputs and selecting the desired precision, the calculator will automatically compute and display several results. These include:

  • Natural Logarithm (ln): This is the logarithm of the input number to the base e.
  • e^x (Inverse): This is the exponential function result, representing the number e raised to the power of the natural logarithm of the input number. It serves as the inverse operation of the natural logarithm.
  • Common Logarithm (log₁₀): The base 10 logarithm of the input number.
  • Binary Logarithm (log₂): The base 2 logarithm of the input number.

Each result is formatted according to the decimal precision you selected. Review these results as needed for your mathematical analysis or documentation.