Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1CV:
log a =Problem 2CV:
a log aM =Problem 3CV:
log a a r =Problem 4CV:
log a ( MN )=+Problem 5CV:
log a M N =Problem 6CV:
log a M r =Problem 7CV:
If log 8 M= log 5 7 log 5 8 ,thenM= .Problem 9CV:
True or False log 2 ( 3 x 4 )=4 log 2 ( 3x )Problem 10CV:
True or False log( 2 3 )= log2 log3Problem 11CV:
Choose the expression equivalent to 2 x . (a) e 2x (b) e xln2 (c) e log 2 x (d) e 2lnxProblem 12CV:
Writing log a x log a y+2 log a z as a single logarithm results in which of the following? (a) log a...Problem 13SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 14SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 15SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 16SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 17SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 18SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 19SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 20SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 21SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 22SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 23SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 24SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 25SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 26SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 27SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 28SB:
In Problems 13-28, use properties of logarithms to find the exact value of each expression. Do not...Problem 29SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 30SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 31SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 32SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 33SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 34SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 35SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 36SB:
In Problems 29-36, suppose that ln2=a and ln3=b . Use properties of logarithms to write each...Problem 37SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 38SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 39SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 40SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 41SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 42SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 43SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 44SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 45SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 46SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 47SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 48SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 49SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 50SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 51SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 52SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 53SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 54SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 55SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 56SB:
In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as...Problem 60SB:
In Problems 57-70, write each expression as a single logarithm. log 2 ( 1 x )+ log 2 ( 1 x 2 )Problem 61SB:
In Problems 57-70, write each expression as a single logarithm. log 4 ( x 2 1)5lo g 4 (x+1)Problem 62SB:
In Problems 57-70, write each expression as a single logarithm. log( x 2 +3x+2)2log(x+1)Problem 63SB:
In Problems 57-70, write each expression as a single logarithm. ln( x x1 )+ln( x+1 x )ln( x 2 1)Problem 64SB:
In Problems 57-70, write each expression as a single logarithm. log( x 2 +2x3 x 2 4 )log( x 2 +7x+6...Problem 65SB:
In Problems 57-70, write each expression as a single logarithm. 8 log 2 3x2 lo g 2 ( 4 x )+ log 2 4Problem 66SB:
In Problems 57-70, write each expression as a single logarithm. 21 log 3 x+ log 3 (9 x 2 )lo g 3 9 3Problem 67SB:
In Problems 57-70, write each expression as a single logarithm. 2 log a (5 x 3 ) 1 2 log a (2x+3)Problem 68SB:
In Problems 57-70, write each expression as a single logarithm. 1 3 log( x 3 +1)+ 1 2 log( x 2 +1)Problem 69SB:
In Problems 57-70, write each expression as a single logarithm. 2 log 2 (x+1)lo g 2 (x+3)lo g 2 (x1)Problem 70SB:
In Problems 57-70, write each expression as a single logarithm. 3 log 5 (3x+1)2lo g 5 (2x1)lo g 5 xProblem 71SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 72SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 73SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 74SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 75SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 76SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 77SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 78SB:
In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round...Problem 79SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 80SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 81SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 82SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 83SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 84SB:
In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=...Problem 85MP:
If f(x)=lnx , lnx,g(x)= e x , and h(x)= x 2 , find: (a) (fg)(x) What is the domain of fg ? (b)...Problem 86MP:
If f(x)= log 2 x , g(x)= 2 x , and h(x)=4x , find: (a) (fg)(x) What is the domain of fg ? (b)...Problem 87AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=lnx+lncProblem 88AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=ln(x+c)Problem 89AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number....Problem 90AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number....Problem 91AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=3x+lnCProblem 92AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=2x+lnCProblem 93AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. ln(y3)=4x+lnCProblem 94AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. ln(y+4)=5x+lnCProblem 95AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. 3lny= 1 2...Problem 96AE:
In Problems 87-96, express y as a function of x. The constant C is a positive number. 2lny= 1 2 lnx+...Problem 98AE:
Find the value of log 2 4 log 4 6 log 6 8 .Problem 100AE:
Find the value of log 2 2 log 2 4 log 2 2 n .Problem 101AE:
Show that log a (x+ x 2 1 )+lo g a (x x 2 1 )=0 .Problem 102AE:
Show that log a ( x + x1 )+lo g a ( x x1 )=0 .Problem 103AE:
Show that ln(1+ e 2x )=2x+ln(1+ e 2x ) .Problem 104AE:
Difference Quotient If f(x)=lo g a x , show that f(x+h)f(x) h = log a ( 1+ h x ) 1/h ,h0 .Problem 105AE:
If f(x)=lo g a x , show that f(x)=lo g 1/a x .Problem 106AE:
If f(x)=lo g a xProblem 107AE:
107. If f(x)=lo g a x , show that f( 1 x )=f(x)Problem 108AE:
108. If f(x)=lo g a x , show that f( x )=f(x)Problem 109AE:
109. Show that log a ( M N )= log a Mlo g a N , where a, M, and N are positive real numbers and a1Problem 110AE:
110. Show that log a ( 1 N )= log a N , where a and N are positive real numbers and a1 .Problem 111DW:
111. Graph Y 1 =log( x 2 ) and Y 2 =2log(x) using a graphing utility. Are they equivalent? What...Problem 114DW:
114. Does 3 log 3 (5)=5 ? Why or why not?Problem 115RYK:
Problems 115-118 are based on material learned earlier in the course. The purpose of these problems...Problem 116RYK:
Problems 115-118 are based on material learned earlier in the course. The purpose of these problems...Browse All Chapters of This Textbook
Chapter 1.1 - The Distance And Midpoint Formulas; Graphing Utilities; Introduction To Graphing EquationsChapter 1.2 - Intercepts; Symmetry; Graphing Key EquationsChapter 1.3 - Solving Equations Using A Graphing UtilityChapter 1.4 - LinesChapter 1.5 - CirclesChapter 1.R - ReviewChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions;piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 2.R - ReviewChapter 2.CR - Cumulative ReviewChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 3.R - Chapter ReviewChapter 3.CT - Chapter TestChapter 3.CR - Cumulative ReviewChapter 4.1 - Polynomial Functions And ModelsChapter 4.2 - The Real Zeros Of A Polynomial FunctionChapter 4.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 4.4 - Properties Of Rational FunctionsChapter 4.5 - The Graph Of A Rational FunctionChapter 4.6 - Polynomial And Rational InequalitiesChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5.R - ReviewChapter 6.1 - Angles And Their MeasureChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 7.R - ReviewChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8.R - ReviewChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 10.R - ReviewChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 13.R - ReviewChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; Continuous FunctionsChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B - The Limit Of A Sequence; Infinite Series
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