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Chapter 12: Problem 2

Approximate each number using a calculator. Round your answer to three decimal places. $$3^{2.4}$$

Short Answer

Expert verified
The rounded value of \(3^{2.4}\) to three decimal places is 15.849.

Step by step solution

01

- Find the value of the exponential expression using a calculator

Use a calculator to find the value of the exponential expression \(3^{2.4}\). When input correctly, the calculator should return an approximate value.
02

- Round the result to three decimal places

After knowing the approximate value, the next step is to round this value to three decimal places. Remember that if the digit in the fourth decimal place is 5 or more, you round up the digit in the third decimal place. If it's less than 5, you leave it as it is.

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Most popular questions from this chapter

Solve each equation in Exercises \(144-146 .\) Check each proposed solution by direct substitution or with a graphing utility. $$\ln (\ln x)=0$$

Solve: $$\frac{3}{x+1}-\frac{5}{x}=\frac{19}{x^{2}+x}$$

Graph \(f\) and \(g\) in the same viewing rectangle. Then describe the relationship of the graph of g to the graph of \(f\). $$f(x)=\ln x, g(x)=\ln (x+3)$$

Complete the table for a savings account subject to continuous compounding ( \(A=P e^{n}\) ). Round answers to one decimal place. $$\begin{array}{l|c|l|c} \hline \begin{array}{l} \text { Amount } \\ \text { Invested } \end{array} & \begin{array}{l} \text { Annual Interest } \\ \text { Rate } \end{array} & \begin{array}{l} \text { Accumulated } \\ \text { Amount } \end{array} & \begin{array}{l} \text { Time } t \\ \text { in Years } \end{array} \\ \hline \$ 8000 & & \$ 12,000 & 2 \\ \hline \end{array}$$

Describe the relationship between an equation in logarithmic form and an equivalent equation in exponential form.
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