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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 5: Q. 16 (page 283)

In Problems 15鈥�24, approximate each number using a calculator. Express your answer rounded to three decimal places.
(a) $5^{1.7}$
(b) $5^{1.73}$
(c) $5^{1.732}$
(d) $5^{\sqrt{3}}$

Short Answer

Expert verified

The approximation of the numbers are

(a) $5^{1.7} = 15.426$

(b) $5^{1.73} = 16.189$

(c) $5^{1.732} = 16.241$

(d) $5^{\sqrt{3}} = 16.241$

Step by step solution

01

Part (a) Step 1. Given

The function $5^{1.7}$

To approximate the value.

02

Part (b) Step 2. Use the calculator and evaluate

By using the calculator,
$5^{1.7} = 15.42584656 = 15.426$

03

Part (b) Step 1. Given

The function $5^{1.73}$

To approximate the value.

04

Part (b) Step 2. Use the calculator and evaluate

By using the calculator,

$5^{1.73} = 16.18892859 = 16.189$

05

Part (c) Step 1. Given

The function $5^{1.732}$

To approximate the value.

06

Part (c) Step 2. Use the calculator and evaluate

By using the calculator,

$5^{1.732} = 16.2411227 = 16.241$

07

Part (d) Step 1. Given

The function $5^{\sqrt{3}}$

To approximate the value.

08

Part (d) Step 2. Use the calculator and evaluate

By using the calculator,

$5^{\sqrt{3}} = 5^{1.732} = 16.2411227 = 16.241$

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Most popular questions from this chapter

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{2 x - 3}{x + 4}$

solve each equation. Verify your results using a graphing utility.

$3^{x^{2} - 7} = 27^{2 x}$

The function $f (x) = | x |$ is not one-to-one. Find a suitable restriction on the domain of $f$ so that the new function that results is one-to-one. Then find the inverse of $f$ .

True or False. The domain of the composite function $(f 鈭� g) (x)$ is the same as the domain of $g (x)$ .

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

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