 5.1: In Exercises 12, convert to the form Q = abt.Q = 7e10t
 5.2: In Exercises 12, convert to the form Q = abt .Q = 5et
 5.3: In Exercises 36, convert to the form Q = aektQ = 4 7t
 5.4: In Exercises 36, convert to the form Q = aektQ = 2 3t
 5.5: In Exercises 36, convert to the form Q = aektQ = 4 81.3t
 5.6: In Exercises 36, convert to the form Q = aektQ = 973 62.1t
 5.7: Solve the equations in Exercises 722 exactly if possible.1.04t = 3
 5.8: Solve the equations in Exercises 722 exactly if possible.e0.15t = 25
 5.9: Solve the equations in Exercises 722 exactly if possible.3(1.081)t ...
 5.10: Solve the equations in Exercises 722 exactly if possible.40e0.2t = 12
 5.11: Solve the equations in Exercises 722 exactly if possible.5(1.014)3t...
 5.12: Solve the equations in Exercises 722 exactly if possible.5(1.15)t =...
 5.13: Solve the equations in Exercises 722 exactly if possible.5(1.031)x = 8
 5.14: Solve the equations in Exercises 722 exactly if possible.4(1.171)x ...
 5.15: Solve the equations in Exercises 722 exactly if possible.3 log(2x +...
 5.16: Solve the equations in Exercises 722 exactly if possible.1.7(2.1)3x...
 5.17: Solve the equations in Exercises 722 exactly if possible.34 log x = 5
 5.18: Solve the equations in Exercises 722 exactly if possible.1002x+3 = ...
 5.19: Solve the equations in Exercises 722 exactly if possible.13e0.081t ...
 5.20: Solve the equations in Exercises 722 exactly if possible.87e0.066t ...
 5.21: Solve the equations in Exercises 722 exactly if possible.log x2 + l...
 5.22: Solve the equations in Exercises 722 exactly if possible.log x + lo...
 5.23: In Exercises 2325, simplify fully.log 100x+1
 5.24: In Exercises 2325, simplify fully.. ln e e2+M 2
 5.25: In Exercises 2325, simplify fully.ln(A + B) ln(A1 + B1)
 5.26: In Exercises 2631, state the domain of the function and identify an...
 5.27: In Exercises 2631, state the domain of the function and identify an...
 5.28: In Exercises 2631, state the domain of the function and identify an...
 5.29: In Exercises 2631, state the domain of the function and identify an...
 5.30: In Exercises 2631, state the domain of the function and identify an...
 5.31: In Exercises 2631, state the domain of the function and identify an...
 5.32: In Exercises 3237, say where you would mark the given animal lifesp...
 5.33: In Exercises 3237, say where you would mark the given animal lifesp...
 5.34: In Exercises 3237, say where you would mark the given animal lifesp...
 5.35: In Exercises 3237, say where you would mark the given animal lifesp...
 5.36: In Exercises 3237, say where you would mark the given animal lifesp...
 5.37: In Exercises 3237, say where you would mark the given animal lifesp...
 5.38: Suppose that x = log A and that y = log B. Write the following expr...
 5.39: Let p = ln m and q = ln n. Write the following expressions in terms...
 5.40: Let x = 10U and y = 10V . Write the following expressions in terms ...
 5.41: Solve the following equations. Give approximate solutions if exact ...
 5.42: Solve for x exactly. (a) 3x 5x1 = 2x1 (b) 3 + ex+1 =2+ ex2 (c) ln(2...
 5.43: In 4346, , the Richter scale ratings for two earthquakes are M1 and...
 5.44: In 4346, , the Richter scale ratings for two earthquakes are M1 and...
 5.45: In 4346, , the Richter scale ratings for two earthquakes are M1 and...
 5.46: In 4346, , the Richter scale ratings for two earthquakes are M1 and...
 5.47: With t in years, the formulas for dollar balances of two bank accou...
 5.48: (a) Let B = 5000(1.06)t give the balance of a bank account after t ...
 5.49: The number of bacteria present in a culture after t hours is given ...
 5.50: In 2010, the population of the country Erehwon was 50 million peopl...
 5.51: The price P(t) = 5(2)t/7 of a good is rising due to inflation, wher...
 5.52: Let P = 15(1.04)t give the population (in thousands) of a town, wit...
 5.53: In 5355, use v(t) = 20e0.2t and w(t) = 12e0.22t.Solve v(t) = 30 exa...
 5.54: In 5355, use v(t) = 20e0.2t and w(t) = 12e0.22t .Solve 3v(2t)=2w(3t...
 5.55: In 5355, use v(t) = 20e0.2t and w(t) = 12e0.22t .Find the doubling ...
 5.56: A calculator confirms that 5 100.7. Show how to use this fact to ap...
 5.57: (a) What are the domain and range of f(x) = 10x? What is the asympt...
 5.58: What is the domain of y = ln(x2 x 6)?
 5.59: (a) Plot the data given by Table 5.22. What kind of function might ...
 5.60: Radioactive carbon14 decays according to the function Q(t) = Q0e0....
 5.61: Suppose 2 mg of a drug is injected into a persons bloodstream. As t...
 5.62: A rubber ball is dropped onto a hard surface from a height of 6 fee...
 5.63: Oil leaks from a tank. At hour t = 0 there are 250 gallons of oil i...
 5.64: Before the advent of computers, logarithms were calculated by hand....
 5.65: A googol is the number 1 followed by 100 zeros, or 10100. A googolp...
 5.66: Since e = 2.718 ... we know that 2
 5.67: Simplify the expression 1000 1 12 log k. Your answer should be exac...
Solutions for Chapter 5: LOGARITHMIC FUNCTIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 5: LOGARITHMIC FUNCTIONS
Get Full SolutionsChapter 5: LOGARITHMIC FUNCTIONS includes 67 full stepbystep solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Since 67 problems in chapter 5: LOGARITHMIC FUNCTIONS have been answered, more than 25108 students have viewed full stepbystep solutions from this chapter.

Convenience sample
A sample that sacrifices randomness for convenience

Cycloid
The graph of the parametric equations

Endpoint of an interval
A real number that represents one “end” of an interval.

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Independent variable
Variable representing the domain value of a function (usually x).

Inverse cosine function
The function y = cos1 x

Leaf
The final digit of a number in a stemplot.

Length of a vector
See Magnitude of a vector.

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Maximum rvalue
The value of r at the point on the graph of a polar equation that has the maximum distance from the pole

Perpendicular lines
Two lines that are at right angles to each other

Pointslope form (of a line)
y  y1 = m1x  x 12.

Reexpression of data
A transformation of a data set.

Reciprocal function
The function ƒ(x) = 1x

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Right angle
A 90° angle.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Slope
Ratio change in y/change in x

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.