The natural logarithm is calculated using the following formula:
\[ \ln(x) = \log_e(x) \]
Where:
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 \(e^x\).
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.
