Question

what is the value of $e^{4}$? round the answer to 3 decimal places.
97.409
20.086
148.413
54.598
question 2
1 pts
which of the following is $4\ln 2 - 1$ correct to 3 decimals places?
177.259
17.726
1.773
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Explanation:

Step1: Calculate \(e^4\)

Using a calculator, \(e^4\approx54.59815003\). Rounding to 3 decimal places gives \(54.598\).

Step2: Calculate \(4\ln2 - 1\)

First, \(\ln2\approx0.693147\). Then \(4\ln2=4\times0.693147 = 2.772588\). Subtracting 1: \(2.772588-1 = 1.772588\approx1.773\) (rounded to 3 decimal places).

Answer:

For the first question: \(54.598\) (the fourth option).
For the second question: \(1.773\) (the third option).