 4.1: The function f1x2 5x is an exponential function with base; f122 , f...
 4.2: Match the exponential function with one of the graphslabeled I, II,...
 4.3: (a) To obtain the graph of g1x2 2x 1, we start withthe graph of f 1...
 4.4: In the formula A1t 2 PA1 rnBnt for compound interest theletters P, ...
 4.5: The exponential function f1x2 A12Bx has theasymptote y . This means...
 4.6: The exponential function f1x2 A12Bx 3 has theasymptote y . This mea...
 4.7: Evaluating Exponential Functions Use a calculator toevaluate the fu...
 4.8: Evaluating Exponential Functions Use a calculator toevaluate the fu...
 4.9: Evaluating Exponential Functions Use a calculator toevaluate the fu...
 4.10: Evaluating Exponential Functions Use a calculator toevaluate the fu...
 4.11: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.12: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.13: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.14: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.15: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.16: Graphing Exponential Functions Sketch the graph of thefunction by m...
 4.17: Graphing Exponential Functions Graph both functionson one set of ax...
 4.18: Graphing Exponential Functions Graph both functionson one set of ax...
 4.19: Graphing Exponential Functions Graph both functionson one set of ax...
 4.20: Graphing Exponential Functions Graph both functionson one set of ax...
 4.21: Exponential Functions from a Graph Find the exponentialfunction f1x...
 4.22: Exponential Functions from a Graph Find the exponentialfunction f1x...
 4.23: Exponential Functions from a Graph Find the exponentialfunction f1x...
 4.24: Exponential Functions from a Graph Find the exponentialfunction f1x...
 4.25: Exponential Functions from a Graph Match the exponentialfunction wi...
 4.26: Exponential Functions from a Graph Match the exponentialfunction wi...
 4.27: Graphing Exponential Functions Graph the function,not by plotting p...
 4.28: Graphing Exponential Functions Graph the function,not by plotting p...
 4.29: Graphing Exponential Functions Graph the function,not by plotting p...
 4.30: Graphing Exponential Functions Graph the function,not by plotting p...
 4.31: Graphing Exponential Functions Graph the function,not by plotting p...
 4.32: Graphing Exponential Functions Graph the function,not by plotting p...
 4.33: Graphing Exponential Functions Graph the function,not by plotting p...
 4.34: Graphing Exponential Functions Graph the function,not by plotting p...
 4.35: Graphing Exponential Functions Graph the function,not by plotting p...
 4.36: Graphing Exponential Functions Graph the function,not by plotting p...
 4.37: Graphing Exponential Functions Graph the function,not by plotting p...
 4.38: Graphing Exponential Functions Graph the function,not by plotting p...
 4.39: Graphing Exponential Functions Graph the function,not by plotting p...
 4.40: Graphing Exponential Functions Graph the function,not by plotting p...
 4.41: Comparing Exponential Functions In these exerciseswe compare the gr...
 4.42: Comparing Exponential Functions In these exerciseswe compare the gr...
 4.43: Comparing Exponential and Power Functions Comparethe graphs of the ...
 4.44: Comparing Exponential and Power Functions Comparethe graphs of the ...
 4.45: Comparing Exponential and Power Functions In theseexercises we use ...
 4.46: Comparing Exponential and Power Functions In theseexercises we use ...
 4.47: Families of Functions Draw graphs of the given familyof functions f...
 4.48: Families of Functions Draw graphs of the given familyof functions f...
 4.49: Getting Information from a Graph Find, rounded totwo decimal places...
 4.50: Getting Information from a Graph Find, rounded totwo decimal places...
 4.51: Difference Quotients These exercises involve a differencequotient f...
 4.52: Difference Quotients These exercises involve a differencequotient f...
 4.53: Bacteria Growth A bacteria culture contains 1500 bacteriainitially ...
 4.54: Mouse Population A certain breed of mouse was introducedonto a smal...
 4.55: Compound Interest An investment of $5000 is depositedinto an accoun...
 4.56: Compound Interest An investment of $5000 is depositedinto an accoun...
 4.57: Compound Interest If $10,000 is invested at an interest rateof 3% p...
 4.58: Compound Interest If $2500 is invested at an interest rateof 2.5% p...
 4.59: Compound Interest If $500 is invested at an interest rate of3.75% p...
 4.60: Compound Interest If $4000 is borrowed at a rate of 5.75%interest p...
 4.61: Present Value The present value of a sum of moneyis the amount that...
 4.62: Present Value The present value of a sum of moneyis the amount that...
 4.63: Annual Percentage Yield Find the annual percentageyield for an inve...
 4.64: Annual Percentage Yield Find the annual percentageyield for an inve...
 4.65: DISCUSS DISCOV ER: Growth of an Exponential FunctionSuppose you are...
 4.66: DISCUSS DISCOV ER: The Height of the Graph of anExponential Functio...
 4.67: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.68: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.69: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.70: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.71: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.72: Graphing Logarithmic Functions Graph the function,not by plotting p...
 4.73: Domain Find the domain of the function. f1x2 log101x 32
 4.74: Domain Find the domain of the function. f1x2 log518 2x2
 4.75: Domain Find the domain of the function. g1x2 log31x2 12
 4.76: Domain Find the domain of the function. g1x2 ln1x x2 2
 4.77: Domain Find the domain of the function. h1x2 ln x ln12 x2
 4.78: Domain Find the domain of the function. h1x2 !x 2 log5110 x2
 4.79: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.80: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.81: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.82: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.83: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.84: Graphing Logarithmic Functions Draw the graph ofthe function in a s...
 4.85: Domain of a Composition Find the functions f + g andg + f and their...
 4.86: Domain of a Composition Find the functions f + g andg + f and their...
 4.87: Domain of a Composition Find the functions f + g andg + f and their...
 4.88: Domain of a Composition Find the functions f + g andg + f and their...
 4.89: Rates of Growth Compare the rates of growth of the functionsf1x2 ln...
 4.90: Rates of Growth(a) By drawing the graphs of the functionsf1x2 1 ln1...
 4.91: Family of Functions A family of functions is given.(a) Draw graphs ...
 4.92: Family of Functions A family of functions is given.(a) Draw graphs ...
 4.93: Inverse Functions A function f1x2 is given. (a) Findthe domain of t...
 4.94: Inverse Functions A function f1x2 is given. (a) Findthe domain of t...
 4.95: Inverse Functions(a) Find the inverse of the function f1x2 2x1 2x ....
 4.96: Absorption of Light A spectrophotometer measures the concentrationo...
 4.97: Carbon Dating The age of an ancient artifact can be determinedby th...
 4.98: Bacteria Colony A certain strain of bacteria divides every3 hours. ...
 4.99: Investment The time required to double the amount of aninvestment a...
 4.100: Charging a Battery The rate at which a battery charges isslower the...
 4.101: Difficulty of a Task The difficulty in acquiring a target(such as u...
 4.102: DISCUSS: The Height of the Graph of a Logarithmic FunctionSuppose t...
 4.103: DISCUSS: The Googolplex A googol is 10100, and agoogolplex is 10goo...
 4.104: DISCUSS: Comparing Logarithms Which is larger, log4 17or log5 24? E...
 4.105: DISCUSS DISCOV ER: The Number of Digits in an IntegerCompare log 10...
 4.106: pH The pH of lime juice is 1.9. Find the hydrogen ionconcentration
 4.107: pH The pH of lime juice is 1.9. Find the hydrogen ionconcentration
 4.108: pH The pH of lime juice is 1.9. Find the hydrogen ionconcentration
Solutions for Chapter 4: Exponential and Logarithmic Functions
Full solutions for Precalculus: Mathematics for Calculus (Standalone Book)  7th Edition
ISBN: 9781305071759
Solutions for Chapter 4: Exponential and Logarithmic Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7. Chapter 4: Exponential and Logarithmic Functions includes 108 full stepbystep solutions. Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759. This expansive textbook survival guide covers the following chapters and their solutions. Since 108 problems in chapter 4: Exponential and Logarithmic Functions have been answered, more than 7650 students have viewed full stepbystep solutions from this chapter.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Common ratio
See Geometric sequence.

Constant of variation
See Power function.

Continuous function
A function that is continuous on its entire domain

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Empty set
A set with no elements

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Inductive step
See Mathematical induction.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Logistic regression
A procedure for fitting a logistic curve to a set of data

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Positive angle
Angle generated by a counterclockwise rotation.

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Real number
Any number that can be written as a decimal.

Real part of a complex number
See Complex number.

Sample space
Set of all possible outcomes of an experiment.

Zero of a function
A value in the domain of a function that makes the function value zero.