The natural logarithm of 2, denoted as \(\ln(2)\), is a mathematical constant. It is the power to which the base \(e\) (approximately 2.71828) must be raised to equal 2. In other words:

\[ e^{\ln(2)} = 2 \]

The value of \(\ln(2)\) is approximately 0.69314718056.

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Here are 5 related questions:
1. What is the natural logarithm and how is it different from the common logarithm?
2. How is the value of \(\ln(2)\) derived or calculated?
3. What are the properties of logarithms that are useful in simplifying logarithmic expressions?
4. How can logarithms be used to solve exponential equations?
5. What are some practical applications of natural logarithms in real-world problems?

**Tip:** When dealing with logarithms, remember the key properties such as the product rule, quotient rule, and power rule, which can simplify complex logarithmic expressions.

Explore the natural logarithm of 2 (ln(2)), its approximate value (0.693), and how it is derived using logarithmic and exponential relationships. Learn about key properties of logarithms, including the product, quotient, and power rules. Ideal for students in Grades 9-12.

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