 4.4.1: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.2: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.3: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.4: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.5: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.6: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.7: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.8: In Exercises 18, write the logarithmic equation as an exponential e...
 4.4.9: In Exercises 912, match the function with its graph. [The graphs ar...
 4.4.10: In Exercises 912, match the function with its graph. [The graphs ar...
 4.4.11: In Exercises 912, match the function with its graph. [The graphs ar...
 4.4.12: In Exercises 912, match the function with its graph. [The graphs ar...
 4.4.13: In Exercises 1318, sketch the graph of the function.
 4.4.14: In Exercises 1318, sketch the graph of the function.
 4.4.15: In Exercises 1318, sketch the graph of the function.
 4.4.16: In Exercises 1318, sketch the graph of the function.
 4.4.17: In Exercises 1318, sketch the graph of the function.
 4.4.18: In Exercises 1318, sketch the graph of the function.
 4.4.19: In Exercises 1922, analytically show that the functions are inverse...
 4.4.20: In Exercises 1922, analytically show that the functions are inverse...
 4.4.21: In Exercises 1922, analytically show that the functions are inverse...
 4.4.22: In Exercises 1922, analytically show that the functions are inverse...
 4.4.23: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.24: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.25: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.26: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.27: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.28: In Exercises 2328, apply the inverse properties of logarithmic and ...
 4.4.29: In Exercises 29 and 30, use the properties of logarithms and the fa...
 4.4.30: In Exercises 29 and 30, use the properties of logarithms and the fa...
 4.4.31: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.32: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.33: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.34: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.35: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.36: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.37: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.38: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.39: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.40: In Exercises 3140, use the properties of logarithms to write the ex...
 4.4.41: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.42: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.43: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.44: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.45: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.46: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.47: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.48: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.49: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.50: In Exercises 4150, write the expression as the logarithm of a singl...
 4.4.51: In Exercises 5174, solve for or .
 4.4.52: In Exercises 5174, solve for or .
 4.4.53: In Exercises 5174, solve for or .
 4.4.54: In Exercises 5174, solve for or .
 4.4.55: In Exercises 5174, solve for or .
 4.4.56: In Exercises 5174, solve for or .
 4.4.57: In Exercises 5174, solve for or .
 4.4.58: In Exercises 5174, solve for or .
 4.4.59: In Exercises 5174, solve for or .
 4.4.60: In Exercises 5174, solve for or .
 4.4.61: In Exercises 5174, solve for or .
 4.4.62: In Exercises 5174, solve for or .
 4.4.63: In Exercises 5174, solve for or .
 4.4.64: In Exercises 5174, solve for or .
 4.4.65: In Exercises 5174, solve for or .
 4.4.66: In Exercises 5174, solve for or .
 4.4.67: In Exercises 5174, solve for or .
 4.4.68: In Exercises 5174, solve for or .
 4.4.69: In Exercises 5174, solve for or .
 4.4.70: In Exercises 5174, solve for or .
 4.4.71: In Exercises 5174, solve for or .
 4.4.72: In Exercises 5174, solve for or .
 4.4.73: In Exercises 5174, solve for or .
 4.4.74: In Exercises 5174, solve for or .
 4.4.75: In Exercises 75 and 76, $3000 is invested in an account at interest...
 4.4.76: In Exercises 75 and 76, $3000 is invested in an account at interest...
 4.4.77: Compound Interest A deposit of $1000 is made in an account that ear...
 4.4.78: Compound Interest Use a spreadsheet to complete the table, which sh...
 4.4.79: Demand The demand function for a product is given by where is the p...
 4.4.80: Demand The demand function for a product is given bywhere is the pr...
 4.4.81: Population Growth The population (in thousands) of Orlando, Florida...
 4.4.82: Population Growth The population (in thousands) of Houston,Texas fr...
 4.4.83: Carbon Dating In Exercises 8386, you are given the ratio of carbon ...
 4.4.84: Carbon Dating In Exercises 8386, you are given the ratio of carbon ...
 4.4.85: Carbon Dating In Exercises 8386, you are given the ratio of carbon ...
 4.4.86: Carbon Dating In Exercises 8386, you are given the ratio of carbon ...
 4.4.87: Learning Theory Students in a mathematics class were given an exam ...
 4.4.88: Learning Theory In a group project in learning theory, a mathematic...
 4.4.89: Agriculture The yield (in pounds per acre) for an orchard at age (i...
 4.4.90: MAKE A DECISION: FINANCE You are investing dollars at an annual int...
 4.4.91: Demonstrate that by using a spreadsheet to complete the table.
 4.4.92: Use a spreadsheet to complete the table using (a) Use the table to ...
 4.4.93: In Exercises 93 and 94, use a graphing utility to verify that the f...
 4.4.94: In Exercises 93 and 94, use a graphing utility to verify that the f...
 4.4.95: True or False? In Exercises 95100, determine whether the statement ...
 4.4.96: True or False? In Exercises 95100, determine whether the statement ...
 4.4.97: True or False? In Exercises 95100, determine whether the statement ...
 4.4.98: True or False? In Exercises 95100, determine whether the statement ...
 4.4.99: True or False? In Exercises 95100, determine whether the statement ...
 4.4.100: True or False? In Exercises 95100, determine whether the statement ...
 4.4.101: Research Project Use a graphing utility to graphover the interval T...
Solutions for Chapter 4.4: Logarithmic Functions
Full solutions for Calculus: An Applied Approach  8th Edition
ISBN: 9780618958252
Solutions for Chapter 4.4: Logarithmic Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: An Applied Approach , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.4: Logarithmic Functions includes 101 full stepbystep solutions. Since 101 problems in chapter 4.4: Logarithmic Functions have been answered, more than 6727 students have viewed full stepbystep solutions from this chapter. Calculus: An Applied Approach was written by Patricia and is associated to the ISBN: 9780618958252.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

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 asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Hypotenuse
Side opposite the right angle in a right triangle.

Inverse properties
a + 1a2 = 0, a # 1a

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Linear system
A system of linear equations

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

Multiplicative identity for matrices
See Identity matrix

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Unbounded interval
An interval that extends to ? or ? (or both).

Unit vector
Vector of length 1.

xyplane
The points x, y, 0 in Cartesian space.

yzplane
The points (0, y, z) in Cartesian space.

Zero vector
The vector <0,0> or <0,0,0>.
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