Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 4 - Exponential and Logarithmic Functions

뒤로

모든 교과서

Blitzer 8th Edition

Ch. 4 - Exponential and Logarithmic Functions

Section 4.2

문제 56

Begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. h(x) = 2 + log₂x

문제 57

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. g(x) = (1/2)log₂ x

문제 59

The figure shows the graph of f(x) = log x. In Exercises 59–64, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. g(x) = log(x − 1)

문제 61

문제 63

g(x) = 1-log x

문제 65

The figure shows the graph of f(x) = ln x. In Exercises 65–74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. g(x) = ln (x+2)

문제 67

h(x) = ln (2x)

문제 68

문제 69

문제 75

Find the domain of each logarithmic function. f(x) = log₅(x+4)

문제 77

Find the domain of each logarithmic function. f(x) = log (2 - x)

문제 79

Find the domain of each logarithmic function. f(x) = ln (x-2)²

문제 81

Evaluate or simplify each expression without using a calculator. log 100

문제 83

Evaluate or simplify each expression without using a calculator. log 10⁷

문제 85

Evaluate or simplify each expression without using a calculator. 10^{log 33}

문제 87

Evaluate or simplify each expression without using a calculator. In 1

문제 88

Evaluate or simplify each expression without using a calculator. In e

문제 89

Evaluate or simplify each expression without using a calculator. In e⁶

문제 91

Evaluate or simplify each expression without using a calculator. In (1/e⁶)

문제 93

Evaluate or simplify each expression without using a calculator. e^{ln 125}

문제 95

Evaluate or simplify each expression without using a calculator. In e^9x

문제 97

Evaluate or simplify each expression without using a calculator. $e raised to the exponent l n of 5 x squared end exponent$

문제 99

Evaluate or simplify each expression without using a calculator. 10^{log √x}

문제 100

Evaluate or simplify each expression without using a calculator. 10^{log ∛x}

문제 101

Write each equation in its equivalent exponential form. Then solve for x. log₃ (x-1) = 2

Section 4.3

문제 1

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log₅ (7 × 3)

문제 3

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log₇ (7x)

문제 5

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(1000x)

문제 7

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log₇ (7/x)

문제 9

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(x/100)