Natural Logarithm Calculator



Formula

The natural logarithm is calculated using the following formula:

\[ \ln(x) = \log_e(x) \]

Where:

What is a Natural Logarithm?

The natural logarithm (ln) is a specific logarithm with the base \(e\), where \(e\) is an irrational number approximately equal to 2.718281828459. It is used to calculate the time it takes to reach a certain level of growth, among other applications in mathematics and science. The natural logarithm is the inverse of the exponential function \(e^x\).

Example Calculation

Let's assume we want to calculate the natural logarithm of 10:

Step 1: Use the natural logarithm formula:

\[ \ln(10) = \log_e(10) \]

Using a calculator, we find:

\[ \ln(10) \approx 2.30259 \]

Therefore, the natural logarithm of 10 is approximately 2.30259.