Problem 68
Question
Evaluate each expression without using a calculator. $$\ln e$$
Step-by-Step Solution
Verified Answer
The value of \(\ln e\) is 1.
1Step 1: Identify the Values
We are given a logarithmic expression \(\ln e\) and we need to solve it. Here, base of the logarithm is the Euler's number \(e\), and the number for the logarithm is also \(e\).
2Step 2: Apply the Logarithm Rule
The logarithm base rule states that the logarithm of a number to the same base equals 1, i.e., \(\log_b b = 1\). Similarly, for the natural logarithm, \(\ln e = 1\).
3Step 3: State the answer
The value of the given expression \(\ln e\) is 1.
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