Problem 88
Question
Evaluate or simplify each expression without using a calculator. $$\ln e$$
Step-by-Step Solution
Verified Answer
1
1Step 1: Understanding the base of the natural logarithm
The natural logarithm has a base e, which is an important number in mathematics approximately equal to 2.71828. The notation \(\ln\) is used to denote this special logarithm which forms the inverse of the exponential function with base e.
2Step 2: Evaluating the natural logarithm of e
The logarithm of a number to its own base is always 1. This applies to the natural logarithm as well. The natural logarithm of e (i.e., \(\ln e\)) is equal to 1, as e is the base of the natural logarithm.
Other exercises in this chapter
Problem 87
Let \(\log _{b} 2=A\) and \(\log _{b} 3=C .\) Write each expression in terms of \(A\) and \(C\). \(\log _{b} \sqrt{\frac{2}{27}}\)
View solution Problem 87
Solve each logarithmic equation. Be sure to reject any value of \(x\) that is not in the domain of the original logarithmic expressions. Give the exact answer.
View solution Problem 88
Let \(\log _{b} 2=A\) and \(\log _{b} 3=C .\) Write each expression in terms of \(A\) and \(C\). \(\log _{b} \sqrt{\frac{3}{16}}\)
View solution Problem 88
Solve each logarithmic equation. Be sure to reject any value of \(x\) that is not in the domain of the original logarithmic expressions. Give the exact answer.
View solution