Name: College Algebra
Author: Lial
ISBN: 9780136881063

Ch. 4 - Inverse, Exponential, and Logarithmic Functions

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Lial 13th Edition

Ch. 4 - Inverse, Exponential, and Logarithmic Functions

Section 4.4

문제 35

Find the [H₃O⁺] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. beer, 4.8

문제 37

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. 2.49 $\times$ 10^-5

문제 39

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. 2.49 $\times$ 10^-2

문제 41

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. 2.49 $\times$ 10^-7

문제 45

Find each value. If applicable, give an approximation to four decimal places. ln e^1.6

문제 47

Find each value. If applicable, give an approximation to four decimal places. ln 1/e²

문제 49

Find each value. If applicable, give an approximation to four decimal places. ln √e

문제 51

Find each value. If applicable, give an approximation to four decimal places. ln 28

문제 53

Find each value. If applicable, give an approximation to four decimal places. ln 0.00013

문제 55

Find each value. If applicable, give an approximation to four decimal places. ln (27 $\times$ 943)

문제 57

Find each value. If applicable, give an approximation to four decimal places. ln 98/13

문제 59

Find each value. If applicable, give an approximation to four decimal places. ln 27 + ln 943

문제 61

Find each value. If applicable, give an approximation to four decimal places. ln 98 - ln 13

문제 62

Find each value. If applicable, give an approximation to four decimal places. ln 84 - ln 17

문제 79

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log₂ 5

문제 81

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log₈ 0.59

문제 83

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_1/2 3

문제 85

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_π e

문제 88

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log_√19 5

문제 91

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln (b⁴√a)

문제 93

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln √(a³/b⁵)

문제 99

Work each problem. Which of the following is equivalent to 2 ln(3x) for x > 0?

A. ln 9 + ln x

B. ln 6x

C. ln 6 + ln x

D. ln 9x²

문제 103

Use properties of logarithms to rewrite each function, and describe how the graph of the given function compares to the graph of g(x) = ln x. ƒ(x) = ln(e²x)

Section 4.5

문제 11

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. 3^x = 7

문제 13

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. (1/2)^x = 5

문제 15

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. 0.8^x = 4

문제 17

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. 4^(x-1) = 3^2x

문제 19

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. 6^(x+1) = 4^(2x-1)

문제 21

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. $e^{x^{2}} = 100$

문제 23

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. e^3x-7 • e^-2x = 4e