 3.2.1: The inverse function of the exponential function given by is called...
 3.2.2: The common logarithmic function has base ________ .
 3.2.3: The logarithmic function given by is called the ________ logarithmi...
 3.2.4: The Inverse Property of logarithms and exponentials states that and...
 3.2.5: The OnetoOne Property of natural logarithms states that if then _...
 3.2.6: In Exercises 18, write the logarithmic equation in exponential form...
 3.2.7: In Exercises 18, write the logarithmic equation in exponential form...
 3.2.8: In Exercises 18, write the logarithmic equation in exponential form...
 3.2.9: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.10: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.11: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.12: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.13: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.14: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.15: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.16: In Exercises 916, write the exponential equation in logarithmic for...
 3.2.17: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.18: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.19: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.20: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.21: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.22: In Exercises 1722, evaluate the function at the indicated value of ...
 3.2.23: In Exercises 2326, use a calculator to evaluate at the indicated va...
 3.2.24: In Exercises 2326, use a calculator to evaluate at the indicated va...
 3.2.25: In Exercises 2326, use a calculator to evaluate at the indicated va...
 3.2.26: In Exercises 2326, use a calculator to evaluate at the indicated va...
 3.2.27: In Exercises 2730, use the properties of logarithms to simplify the...
 3.2.28: In Exercises 2730, use the properties of logarithms to simplify the...
 3.2.29: In Exercises 2730, use the properties of logarithms to simplify the...
 3.2.30: In Exercises 2730, use the properties of logarithms to simplify the...
 3.2.31: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.32: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.33: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.34: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.35: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.36: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.37: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.38: In Exercises 3138, find the domain, intercept, and vertical asympt...
 3.2.39: In Exercises 3944, use the graph of to match the given function wit...
 3.2.40: In Exercises 3944, use the graph of to match the given function wit...
 3.2.41: In Exercises 3944, use the graph of to match the given function wit...
 3.2.42: In Exercises 3944, use the graph of to match the given function wit...
 3.2.43: In Exercises 3944, use the graph of to match the given function wit...
 3.2.44: In Exercises 3944, use the graph of to match the given function wit...
 3.2.45: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.46: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.47: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.48: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.49: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.50: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.51: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.52: In Exercises 4552, write the logarithmic equation in exponential form.
 3.2.53: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.54: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.55: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.56: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.57: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.58: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.59: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.60: In Exercises 5360, write the exponential equation in logarithmic form.
 3.2.61: In Exercises 6164, use a calculator to evaluate the function at the...
 3.2.62: In Exercises 6164, use a calculator to evaluate the function at the...
 3.2.63: In Exercises 6164, use a calculator to evaluate the function at the...
 3.2.64: In Exercises 6164, use a calculator to evaluate the function at the...
 3.2.65: In Exercises 6568, evaluate at the indicated value of without using...
 3.2.66: In Exercises 6568, evaluate at the indicated value of without using...
 3.2.67: In Exercises 6568, evaluate at the indicated value of without using...
 3.2.68: In Exercises 6568, evaluate at the indicated value of without using...
 3.2.69: In Exercises 6972, find the domain, intercept,and vertical asympto...
 3.2.70: In Exercises 6972, find the domain, intercept,and vertical asympto...
 3.2.71: In Exercises 6972, find the domain, intercept,and vertical asympto...
 3.2.72: In Exercises 6972, find the domain, intercept,and vertical asympto...
 3.2.73: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.74: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.75: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.76: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.77: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.78: In Exercises 7378, use a graphing utility to graph the function. Be...
 3.2.79: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.80: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.81: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.82: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.83: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.84: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.85: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.86: In Exercises 7986, use the OnetoOne Property to solve the equatio...
 3.2.87: Monthly Payment The model approximates the length of a home mortgag...
 3.2.88: Compound Interest A principal invested at and compounded continuous...
 3.2.89: Human Memory Model Students in a mathematics class were given an ex...
 3.2.90: Sound Intensity The relationship between the number of decibels and...
 3.2.91: You can determine the graph of by graphing and reflecting it about ...
 3.2.92: The graph of contains the point
 3.2.93: In Exercises 9396, sketch the graph of and and describe the relatio...
 3.2.94: In Exercises 9396, sketch the graph of and and describe the relatio...
 3.2.95: In Exercises 9396, sketch the graph of and and describe the relatio...
 3.2.96: In Exercises 9396, sketch the graph of and and describe the relatio...
 3.2.97: Graphical Analysis Use a graphing utility to graph and in the same ...
 3.2.98: (a) Complete the table for the function given by (b) Use the table ...
 3.2.99: Think About It The table of values was obtained by evaluating a fun...
 3.2.100: Writing Explain why is defined only for and
 3.2.101: In Exercises 101 and 102, (a) use a graphing utility to graph the f...
 3.2.102: In Exercises 101 and 102, (a) use a graphing utility to graph the f...
 3.2.103: In Exercises 103108, evaluate the function for
 3.2.104: In Exercises 103108, evaluate the function for
 3.2.105: In Exercises 103108, evaluate the function for
 3.2.106: In Exercises 103108, evaluate the function for
 3.2.107: In Exercises 103108, evaluate the function for _ f _ g__7_
 3.2.108: In Exercises 103108, evaluate the function for _g _ f ___3_
Solutions for Chapter 3.2: Logarithmic Functions and Their Graphs
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 3.2: Logarithmic Functions and Their Graphs
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 108 problems in chapter 3.2: Logarithmic Functions and Their Graphs have been answered, more than 37670 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. Chapter 3.2: Logarithmic Functions and Their Graphs includes 108 full stepbystep solutions.

Boundary
The set of points on the “edge” of a region

Cubic
A degree 3 polynomial function

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

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

Frequency distribution
See Frequency table.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Horizontal shrink or stretch
See Shrink, stretch.

Inverse tangent function
The function y = tan1 x

Mean (of a set of data)
The sum of all the data divided by the total number of items

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

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.

Partial fraction decomposition
See Partial fractions.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Rational numbers
Numbers that can be written as a/b, where a and b are integers, and b ? 0.

Reflection
Two points that are symmetric with respect to a lineor a point.

Solve a system
To find all solutions of a system.

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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