Problem 67
Question
Evaluate each expression without using a calculator. $$\ln 1$$
Step-by-Step Solution
Verified Answer
The evaluation of the expression \(\ln 1\) is 0.
1Step 1: Understand the properties of logarithms
In the logarithmic function, \(\ln(x)\), the base of the logarithm is \(e\), the natural number. A key property of any logarithm is that the logarithm of 1 to any base is always 0. This property can be written mathematically as \(\log_b{1} = 0\), for any base \(b\).
2Step 2: Apply the property
By applying this property to our given expression \(\ln 1\), it becomes evident that no matter what the base, the result is 0. So, \(\ln 1 = 0.\)
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