Problem 1SP: Skill Practice
1. Write each equation in exponential form.
a.
b.
c.
Problem 2SP Problem 3SP Problem 4SP Problem 5SP Problem 6SP Problem 7SP Problem 8SP Problem 9SP Problem 10SP Problem 1PE Problem 2PE Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE Problem 8PE Problem 9PE Problem 10PE Problem 11PE Problem 12PE: 4. Given the base is understood to be __________ Given the base is understood to be ________.
Problem 13PE Problem 14PE Problem 15PE Problem 16PE Problem 17PE Problem 18PE Problem 19PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 20PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 21PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 22PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 23PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 24PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 25PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 26PE: For the exercises in this set, assume that all variable expressions represent positive real numbers.... Problem 27PE: For Exercises 17–24, write the equation in logarithmic form. (See Example 2)
17.
Problem 28PE: For Exercises 17–24, write the equation in logarithmic form. (See Example 2)
18.
Problem 29PE: For Exercises 17–24, write the equation in logarithmic form. (See Example 2)
19.
Problem 30PE: For Exercises 1724, write the equation in logarithmic form. (See Example 2) (12)5=32 Problem 31PE: For Exercises 17–24, write the equation in logarithmic form. (See Example 2)
21.
Problem 32PE: For Exercises 1724, write the equation in logarithmic form. (See Example 2) e1=e Problem 33PE: For Exercises 1724, write the equation in logarithmic form. (See Example 2) a7=b Problem 34PE: For Exercises 17–24, write the equation in logarithmic form. (See Example 2)
24.
Problem 35PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 36PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 37PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 38PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 39PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 40PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 41PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 42PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 43PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 44PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 45PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 46PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 47PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 48PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 49PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 50PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 51PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 52PE: Objective 2: Evaluate Logarithmic Expressions
For Exercises 25–50, simplify the expression without... Problem 53PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 54PE: Objective 2: Evaluate Logarithmic Expressions For Exercises 2550, simplify the expression without... Problem 55PE Problem 56PE Problem 57PE: For Exercises 53–54, approximate for the given values of x. Round to 4 decimal places. (See Example... Problem 58PE Problem 59PE: Objective 3: Apply Basic Properties of Logarithms For Exercises 5564, simplify the expression... Problem 60PE Problem 61PE: Objective 3: Apply Basic Properties of Logarithms
For Exercises 55–64, simplify the expression... Problem 62PE Problem 63PE: Objective 3: Apply Basic Properties of Logarithms
For Exercises 55–64, simplify the expression... Problem 64PE Problem 65PE: Objective 3: Apply Basic Properties of Logarithms For Exercises 5564, simplify the expression... Problem 66PE: Objective 3: Apply Basic Properties of Logarithms
For Exercises 55–64, simplify the expression... Problem 67PE: Objective 3: Apply Basic Properties of Logarithms
For Exercises 55–64, simplify the expression... Problem 68PE: Objective 3: Apply Basic Properties of Logarithms For Exercises 5564, simplify the expression... Problem 69PE: Objective 4: Graph Logarithmic Functions
For Exercises 65–70, graph the function. (See Example... Problem 70PE: Objective 4: Graph Logarithmic Functions For Exercises 6570, graph the function. (See Example 7)... Problem 71PE: Objective 4: Graph Logarithmic Functions
For Exercises 65–70, graph the function. (See Example... Problem 72PE: Objective 4: Graph Logarithmic Functions
For Exercises 65–70, graph the function. (See Example... Problem 73PE: Objective 4: Graph Logarithmic Functions
For Exercises 65–70, graph the function. (See Example... Problem 74PE: Objective 4: Graph Logarithmic Functions For Exercises 6570, graph the function. (See Example 7)... Problem 75PE: For Exercises 71–78, (See Example 8)
a. Use transformations of the graphs of (see Example 7) and ... Problem 76PE Problem 77PE: For Exercises 71–78, (See Example 8)
a. Use transformations of the graphs of (see Example 7) and ... Problem 78PE Problem 79PE: For Exercises 71–78, (See Example 8)
a. Use transformations of the graphs of (see Example 7) and ... Problem 80PE Problem 81PE: For Exercises 71–78, (See Example 8)
a. Use transformations of the graphs of (see Example 7) and ... Problem 82PE Problem 83PE: For Exercises 79–92, write the domain in interval notation. (See Example 9)
79.
Problem 84PE Problem 85PE: For Exercises 7992, write the domain in interval notation. (See Example 9) h(x)=log2(6x+7) Problem 86PE: For Exercises 79–92, write the domain in interval notation. (See Example 9)
82.
Problem 87PE: For Exercises 79–92, write the domain in interval notation. (See Example 9)
83.
Problem 88PE: For Exercises 79–92, write the domain in interval notation. (See Example 9)
84.
Problem 89PE: For Exercises 7992, write the domain in interval notation. (See Example 9) p(x)=log(x2x12) Problem 90PE Problem 91PE: For Exercises 79–92, write the domain in interval notation. (See Example 9)
91.
Problem 92PE Problem 93PE: In 1989, the Loma Prieta earthquake damaged the city of San Francisco with an intensity of... Problem 94PE Problem 95PE: Sounds are produced when vibrating objects create pressure waves in some medium such as air. When... Problem 96PE: Sounds are produced when vibrating objects create pressure waves in some medium such as air. When... Problem 97PE: Scientists use pH scale to represent the level of acidity or alkalinity of a liquid. This is based... Problem 98PE Problem 99PE: Scientists categorize sediment size on a base-2 scale called the Phi scale. The Phi function is... Problem 100PE Problem 101PE Problem 102PE Problem 103PE Problem 104PE: Mixed Exercises
For Exercises 99–102,
a. Write the equation in exponential form.
b. Solve the... Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE: a. Evaluate log33+log327 b. Evaluate log3(327) c. How do the values of the expressions in parts (a)... Problem 111PE: a. Evaluate log464log44 b. Evaluate log4(644) c. How do the values of the expressions in parts (a)... Problem 112PE Problem 113PE Problem 114PE Problem 115PE Problem 116PE: 114. The number n of monthly payments of P dollars each required to pay off a loan of A dollars in... Problem 117PE Problem 118PE Problem 119PE Problem 120PE Problem 121PE Problem 122PE Problem 123PE Problem 124PE Problem 125PE Problem 126PE Problem 127PE Problem 128PE Problem 129PE Problem 130PE Problem 1PRE Problem 2PRE Problem 3PRE Problem 4PRE Problem 5PRE Problem 6PRE Problem 7PRE Problem 8PRE Problem 9PRE Problem 10PRE: For Exercises 1-14,
a. Write the domain.
b. Write the range.
c. Find the x-intercept(s).
d. Find... Problem 11PRE Problem 12PRE Problem 13PRE Problem 14PRE format_list_bulleted