 4.1: Use a calculator to find the indicated values of the exponential fu...
 4.2: Use a calculator to find the indicated values of the exponential fu...
 4.3: Use a calculator to find the indicated values of the exponential fu...
 4.4: Use a calculator to find the indicated values of the exponential fu...
 4.5: Sketch the graph of the function. State the domain, range, and asym...
 4.6: Sketch the graph of the function. State the domain, range, and asym...
 4.7: Sketch the graph of the function. State the domain, range, and asym...
 4.8: Sketch the graph of the function. State the domain, range, and asym...
 4.9: Sketch the graph of the function. State the domain, range, and asym...
 4.10: Sketch the graph of the function. State the domain, range, and asym...
 4.11: Sketch the graph of the function. State the domain, range, and asym...
 4.12: Sketch the graph of the function. State the domain, range, and asym...
 4.13: Sketch the graph of the function. State the domain, range, and asym...
 4.14: Sketch the graph of the function. State the domain, range, and asym...
 4.15: Sketch the graph of the function. State the domain, range, and asym...
 4.16: Sketch the graph of the function. State the domain, range, and asym...
 4.17: Find the domain of the function.f1x2 10x 2 log11 2x2
 4.18: Find the domain of the function.g1x2 log12 x x2 2
 4.19: Find the domain of the function.h1x2 ln1x k1x2 ln 0 x 0 2 42
 4.20: Find the domain of the function.k1x2 ln 0 x 0 2
 4.21: Write the equation in exponential form.log2 1024 10
 4.22: Write the equation in exponential form.log6 37 x
 4.23: Write the equation in exponential form.log x y
 4.24: Write the equation in exponential form.ln c 17
 4.25: Write the equation in logarithmic form.2 7 6 64
 4.26: Write the equation in logarithmic form.491/2 1 2 7
 4.27: Write the equation in logarithmic form.10 k m x 744
 4.28: Write the equation in logarithmic form.e 10 k m
 4.29: Evaluate the expression without using a calculator.log2 128
 4.30: Evaluate the expression without using a calculator.log8 1
 4.31: Evaluate the expression without using a calculator.10 log log 45
 4.32: Evaluate the expression without using a calculator.log 0.000001
 4.33: Evaluate the expression without using a calculator.ln1e log4 8 6 2
 4.34: Evaluate the expression without using a calculator.log4 8
 4.35: Evaluate the expression without using a calculator.log3A 127 B
 4.36: Evaluate the expression without using a calculator.2log213
 4.37: Evaluate the expression without using a calculator.log5 15
 4.38: Evaluate the expression without using a calculator.e2ln7
 4.39: Evaluate the expression without using a calculator.log 25 log 4
 4.40: Evaluate the expression without using a calculator.log3 1243
 4.41: Evaluate the expression without using a calculator.log2 16 log5 250...
 4.42: Evaluate the expression without using a calculator.log5 250 log5 2
 4.43: Evaluate the expression without using a calculator.log8 6 log8 3 lo...
 4.44: Evaluate the expression without using a calculator.log log 10100
 4.45: Expand the logarithmic expression.log1AB 2 12 2C3 2
 4.46: Expand the logarithmic expression.log2 1x 2x log1AB 2 12
 4.47: Expand the logarithmic expression.ln b Bx 2 1x 2 1
 4.48: Expand the logarithmic expression.log a 4x 3y21x 125 ln b
 4.49: Expand the logarithmic expression.log5 a b x211 5x23/22x3 x b
 4.50: Expand the logarithmic expression.ln a 23 x 4 121x 162 1x 3 log5 a b
 4.51: Combine into a single logarithm.log 6 4 log 2
 4.52: Combine into a single logarithm.log x log1x2 log 6 4 log 2 y2 3 log y
 4.53: Combine into a single logarithm.32 log2 1x y2 2
 4.54: Combine into a single logarithm.log5 2 log5 1x 12 13 log5 13x 72
 4.55: Combine into a single logarithm.log1x 22 log1x 22 12 log1x2 42
 4.56: Combine into a single logarithm.2 3ln1x 42 5 ln1x2 4x2 4
 4.57: Solve the equation. Find the exact solution if possible; otherwise,...
 4.58: Solve the equation. Find the exact solution if possible; otherwise,...
 4.59: Solve the equation. Find the exact solution if possible; otherwise,...
 4.60: Solve the equation. Find the exact solution if possible; otherwise,...
 4.61: Solve the equation. Find the exact solution if possible; otherwise,...
 4.62: Solve the equation. Find the exact solution if possible; otherwise,...
 4.63: Solve the equation. Find the exact solution if possible; otherwise,...
 4.64: Solve the equation. Find the exact solution if possible; otherwise,...
 4.65: Solve the equation. Find the exact solution if possible; otherwise,...
 4.66: Solve the equation. Find the exact solution if possible; otherwise,...
 4.67: Solve the equation. Find the exact solution if possible; otherwise,...
 4.68: Solve the equation. Find the exact solution if possible; otherwise,...
 4.69: Use a calculator to find the solution of the equation, rounded to s...
 4.70: Use a calculator to find the solution of the equation, rounded to s...
 4.71: Use a calculator to find the solution of the equation, rounded to s...
 4.72: Use a calculator to find the solution of the equation, rounded to s...
 4.73: Draw a graph of the function and use it to determine the asymptotes...
 4.74: Draw a graph of the function and use it to determine the asymptotes...
 4.75: Draw a graph of the function and use it to determine the asymptotes...
 4.76: Draw a graph of the function and use it to determine the asymptotes...
 4.77: Find the solutions of the equation, rounded to two decimal places.3...
 4.78: Find the solutions of the equation, rounded to two decimal places4 ...
 4.79: Solve the inequality graphically.ln x x 2
 4.80: Solve the inequality graphically.ex 4x2
 4.81: Use a graph of to find, approximately, the intervals on which f is ...
 4.82: Find an equation of the line shown in the figure.
 4.83: Use the Change of Base Formula to evaluate the logarithm, rounded t...
 4.84: Use the Change of Base Formula to evaluate the logarithm, rounded t...
 4.85: Use the Change of Base Formula to evaluate the logarithm, rounded t...
 4.86: Use the Change of Base Formula to evaluate the logarithm, rounded t...
 4.87: Which is larger, log4 258 or log5 620?
 4.88: Find the inverse of the function , and state its domain and range.
 4.89: If $12,000 is invested at an interest rate of 10% per year, find th...
 4.90: A sum of $5000 is invested at an interest rate of % per year, compo...
 4.91: A money market account pays 5.2% annual interest, compounded daily....
 4.92: A retirement savings plan pays 4.5% interest, compounded continuous...
 4.93: Determine the annual percentage yield (APY) for the given nominal a...
 4.94: Determine the annual percentage yield (APY) for the given nominal a...
 4.95: The straycat population in a small town grows exponentially. In 19...
 4.96: A culture contains 10,000 bacteria initially. After an hour the bac...
 4.97: Uranium234 has a halflife of 2.7 105 years. (a) Find the amount r...
 4.98: A sample of bismuth210 decayed to 33% of its original mass after 8...
 4.99: The halflife of radium226 is 1590 years. (a) If a sample has a ma...
 4.100: The halflife of palladium100 is 4 days. After 20 days a sample ha...
 4.101: The graph shows the population of a rare species of bird, where t r...
 4.102: A car engine runs at a temperature of 190 F. When the engine is tur...
 4.103: The hydrogen ion concentration of fresh egg whites was measured as ...
 4.104: The pH of lime juice is 1.9. Find the hydrogen ion concentration.
 4.105: If one earthquake has magnitude 6.5 on the Richter scale, what is t...
 4.106: The drilling of a jackhammer was measured at 132 dB. The sound of w...
Solutions for Chapter 4: Precalculus: Mathematics for Calculus 6th Edition
Full solutions for Precalculus: Mathematics for Calculus  6th Edition
ISBN: 9780840068071
Solutions for Chapter 4
Get Full SolutionsPrecalculus: Mathematics for Calculus was written by and is associated to the ISBN: 9780840068071. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4 includes 106 full stepbystep solutions. Since 106 problems in chapter 4 have been answered, more than 10200 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus, edition: 6.

Cone
See Right circular cone.

Demand curve
p = g(x), where x represents demand and p represents price

Focal length of a parabola
The directed distance from the vertex to the focus.

Imaginary part of a complex number
See Complex number.

Inequality
A statement that compares two quantities using an inequality symbol

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

Line graph
A graph of data in which consecutive data points are connected by line segments

Minute
Angle measure equal to 1/60 of a degree.

Nappe
See Right circular cone.

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Negative angle
Angle generated by clockwise rotation.

Normal curve
The graph of ƒ(x) = ex2/2

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

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

Regression model
An equation found by regression and which can be used to predict unknown values.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

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

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Terminal side of an angle
See Angle.