Problem 108
Question
Evaluate each expression without using a calculator. $$\log (\ln e)$$
Step-by-Step Solution
Verified Answer
The result of \(\log (\ln e)\) is 0.
1Step 1: Evaluate the natural logarithm
First, let's evaluate the natural logarithm function which is \(\ln(e)\). By definition, this equals to 1.
2Step 2: Evaluate the common logarithm
The next step is to evaluate \(\log(1)\), which, by definition, equals to zero.
Other exercises in this chapter
Problem 107
Describe the power rule for logarithms and give an example.
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Complete the table for a savings account subject to \(n\) compoundings yearly \(\left[A=P\left(1+\frac{r}{n}\right)^{m}\right]\). Round answers to one decimal p
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Without showing the details, explain how to condense \(\ln x-2 \ln (x+1)\)
View solution Problem 109
Find the domain of each logarithmic function. $$f(x)=\ln \left(x^{2}-x-2\right)$$
View solution