 3.170: In Exercises 1 and 2, compute the exact value of the function for t...
 3.171: In Exercises 1 and 2, compute the exact value of the function for t...
 3.172: In Exercises 3 and 4, determine a formula for the exponential funct...
 3.173: In Exercises 3 and 4, determine a formula for the exponential funct...
 3.174: In Exercises 510, describe how to transform the graph of into the g...
 3.175: In Exercises 510, describe how to transform the graph of into the g...
 3.176: In Exercises 510, describe how to transform the graph of into the g...
 3.177: In Exercises 510, describe how to transform the graph of into the g...
 3.178: In Exercises 510, describe how to transform the graph of into the g...
 3.179: In Exercises 510, describe how to transform the graph of into the g...
 3.180: In Exercises 11 and 12, find the yintercept and the horizontal asy...
 3.181: In Exercises 11 and 12, find the yintercept and the horizontal asy...
 3.182: In Exercises 13 and 14, state whether the function is an exponentia...
 3.183: In Exercises 13 and 14, state whether the function is an exponentia...
 3.184: In Exercises 1518, graph the function, and analyze it for domain, r...
 3.185: In Exercises 1518, graph the function, and analyze it for domain, r...
 3.186: In Exercises 1518, graph the function, and analyze it for domain, r...
 3.187: In Exercises 1518, graph the function, and analyze it for domain, r...
 3.188: In Exercises 1922, find the exponential function that satisfies the...
 3.189: In Exercises 1922, find the exponential function that satisfies the...
 3.190: In Exercises 1922, find the exponential function that satisfies the...
 3.191: In Exercises 1922, find the exponential function that satisfies the...
 3.192: In Exercises 23 and 24, find the logistic function that satisfies t...
 3.193: In Exercises 23 and 24, find the logistic function that satisfies t...
 3.194: In Exercises 25 and 26, determine a formula for the logistic functi...
 3.195: In Exercises 25 and 26, determine a formula for the logistic functi...
 3.196: In Exercises 2730, evaluate the logarithmic expression without usin...
 3.197: In Exercises 2730, evaluate the logarithmic expression without usin...
 3.198: In Exercises 2730, evaluate the logarithmic expression without usin...
 3.199: In Exercises 2730, evaluate the logarithmic expression without usin...
 3.200: In Exercises 3134, rewrite the equation in exponential form.log3 x = 5
 3.201: In Exercises 3134, rewrite the equation in exponential form.log2 x = y
 3.202: In Exercises 3134, rewrite the equation in exponential form.ln x y ...
 3.203: In Exercises 3134, rewrite the equation in exponential form.log a b...
 3.204: In Exercises 3538, describe how to transform the graph of into the ...
 3.205: In Exercises 3538, describe how to transform the graph of into the ...
 3.206: In Exercises 3538, describe how to transform the graph of into the ...
 3.207: In Exercises 3538, describe how to transform the graph of into the ...
 3.208: In Exercises 3942, graph the function, and analyze it for domain, r...
 3.209: In Exercises 3942, graph the function, and analyze it for domain, r...
 3.210: In Exercises 3942, graph the function, and analyze it for domain, r...
 3.211: In Exercises 3942, graph the function, and analyze it for domain, r...
 3.212: In Exercises 4354, solve the equation.0 x = 4
 3.213: In Exercises 4354, solve the equation.ex = 0.25
 3.214: In Exercises 4354, solve the equation.1.05x = 3
 3.215: In Exercises 4354, solve the equation. ln x = 5.4
 3.216: In Exercises 4354, solve the equation.log x = 7
 3.217: In Exercises 4354, solve the equation.3x3= 5
 3.218: In Exercises 4354, solve the equation.3 log2 x + 1 = 7
 3.219: In Exercises 4354, solve the equation.2 log3 x  3 = 4
 3.220: In Exercises 4354, solve the equation.3x  3x 2 = 5
 3.221: In Exercises 4354, solve the equation.50 4 + e2x = 11
 3.222: In Exercises 4354, solve the equation.log 1x + 22 + log 1x  12 = 4
 3.223: In Exercises 4354, solve the equation.ln 13x + 42  ln 12x + 12 = 5
 3.224: In Exercises 55 and 56, write the expression using only natural log...
 3.225: In Exercises 55 and 56, write the expression using only natural log...
 3.226: In Exercises 57 and 58, write the expression using only common loga...
 3.227: In Exercises 57 and 58, write the expression using only common loga...
 3.228: In Exercises 5962, match the function with its graph. All graphs ar...
 3.229: In Exercises 5962, match the function with its graph. All graphs ar...
 3.230: In Exercises 5962, match the function with its graph. All graphs ar...
 3.231: In Exercises 5962, match the function with its graph. All graphs ar...
 3.232: Compound Interest Find the amount A accumulated after investing a p...
 3.233: Compound Interest Find the amount A accumulated after investing a p...
 3.234: Compound Interest Find the amount A accumulated after investing a p...
 3.235: Future Value Find the future value FV accumulated in an annuity aft...
 3.236: Present Value Find the present value PV of a loan with an annual in...
 3.237: Present Value Find the present value PV of a loan with an annual in...
 3.238: In Exercises 69 and 70, determine the value of k so that the graph ...
 3.239: In Exercises 69 and 70, determine the value of k so that the graph ...
 3.240: Modeling Population Find an exponential regression model for Georgi...
 3.241: Modeling Population Find a logistic regression model for Illinoiss ...
 3.242: Drug Absorption A drug is administered intravenously for pain. The ...
 3.243: The population of Metroville is 123,000 and is decreasing by 2.4% e...
 3.244: Population Decrease The population of Preston is 89,000 and is decr...
 3.245: Spread of Flu The number P of students infected with flu at Northri...
 3.246: Rabbit Population The number of rabbits in Elkgrove doubles every m...
 3.247: Guppy Population The number of guppies in Susans aquarium doubles e...
 3.248: Radioactive Decay The halflife of a certain radioactive substance ...
 3.249: Radioactive Decay The halflife of a certain radioactive substance ...
 3.250: Richter Scale Afghanistan suffered two major earthquakes in 1998. T...
 3.251: Chemical Acidity The pH of seawater is 7.6, and the pH of milk of m...
 3.252: Annuity Finding Time If Joenita invests $1500 into a retirement acc...
 3.253: Annuity Finding Time If Juan invests $12,500 into a retirement acco...
 3.254: Monthly Payments The time t in months that it takes to pay off a $6...
 3.255: Monthly Payments Using the equation in Exercise 85, estimate the le...
 3.256: Finding APY Find the annual percentage yield for an investment with...
 3.257: Finding APY Find the annual percentage yield that can be used to ad...
 3.258: Light Absorption The BeerLambert Law of Absorption applied to Lake...
 3.259: For what values of b is a vertical stretch of A vertical shrink of ...
 3.260: For what values of b is a vertical stretch of ? A vertical shrink o...
 3.261: If , prove that is a linear function. Find its slope and yintercept.
 3.262: Spread of Flu The number of students infected with flu after t days...
 3.263: Population of Deer The population P of deer after t years in Briggs...
 3.264: Newtons Law of Cooling A cup of coffee cooled from 96C to 65C after...
 3.265: Newtons Law of Cooling A cake is removed from an oven at 220F and c...
 3.266: The function describes the future value of a certain annuity. (a) W...
 3.267: The function describes the present value of a certain annuity. (a) ...
 3.268: Simple Interest Versus Compounding Continuously Grace purchases a $...
 3.269: If you collected motion data using a CBL or CBR, a plot of height v...
 3.270: Bounce height 1 is what percentage of bounce height 0? Calculate th...
 3.271: Create a scatter plot for maximum height versus bounce number.
 3.272: For bounce 1, the height is predicted by multiplying bounce height ...
 3.273: Enter this equation into your grapher, using your values for H and ...
 3.274: Use the statistical features of the grapher to find the exponential...
 3.275: How would your data and equation change if you used a different typ...
 3.276: What factors would change the Hvalue, and what factors affect the ...
 3.277: Rewrite your equation using base e instead of using P as the base f...
 3.278: What do you predict the graph of ln (bounce height) versus bounce n...
 3.279: Plot ln (bounce height) versus bounce number. Calculate the linear ...
Solutions for Chapter 3: Exponential, Logistic, and Logarithmic Functions
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 3: Exponential, Logistic, and Logarithmic Functions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 110 problems in chapter 3: Exponential, Logistic, and Logarithmic Functions have been answered, more than 43193 students have viewed full stepbystep solutions from this chapter. Chapter 3: Exponential, Logistic, and Logarithmic Functions includes 110 full stepbystep solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Anchor
See Mathematical induction.

Circle graph
A circular graphical display of categorical data

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Horizontal component
See Component form of a vector.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Leading term
See Polynomial function in x.

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Range (in statistics)
The difference between the greatest and least values in a data set.

Reexpression of data
A transformation of a data set.

Second
Angle measure equal to 1/60 of a minute.

Symmetric property of equality
If a = b, then b = a

System
A set of equations or inequalities.

Unit vector
Vector of length 1.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Vertex of a cone
See Right circular cone.