 3.3.1: Fill in the blanks. To evaluate a logarithm to any base, use the __...
 3.3.2: Fill in the blanks. The changeofbase formula for base is given by...
 3.3.3: Fill in the blanks. You can consider to be a constant multiple of t...
 3.3.4: In Exercises 46, match the property of logarithms with its name. (a...
 3.3.5: In Exercises 46, match the property of logarithms with its name. (b...
 3.3.6: In Exercises 46, match the property of logarithms with its name. (c...
 3.3.7: Rewriting a Logarithm In Exercises 710, rewrite the logarithm as a ...
 3.3.8: Rewriting a Logarithm In Exercises 710, rewrite the logarithm as a ...
 3.3.9: Rewriting a Logarithm In Exercises 710, rewrite the logarithm as a ...
 3.3.10: Rewriting a Logarithm In Exercises 710, rewrite the logarithm as a ...
 3.3.11: Using the ChangeofBase Formula In Exercises 1114, evaluate the lo...
 3.3.12: Using the ChangeofBase Formula In Exercises 1114, evaluate the lo...
 3.3.13: Using the ChangeofBase Formula In Exercises 1114, evaluate the lo...
 3.3.14: Using the ChangeofBase Formula In Exercises 1114, evaluate the lo...
 3.3.15: Using Properties of Logarithms In Exercises 1520, use the propertie...
 3.3.16: Using Properties of Logarithms In Exercises 1520, use the propertie...
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 3.3.21: Using Properties of Logarithms In Exercises 2136, find the exact va...
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 3.3.37: Expanding a Logarithmic Expression In Exercises 3758, use the prope...
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 3.3.59: Using Properties of Logarithms In Exercises 5966, approximate the l...
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 3.3.83: Comparing Logarithmic Quantities In Exercises 83 and 84, compare th...
 3.3.84: Comparing Logarithmic Quantities In Exercises 83 and 84, compare th...
 3.3.85: Use the properties of logarithms to write the formula in simpler fo...
 3.3.86: Find the difference in loudness between an average office with an i...
 3.3.87: Find the difference in loudness between a vacuum cleaner with an in...
 3.3.88: You and your roommate are playing your stereos at the same time and...
 3.3.89: Curve Fitting In Exercises 8992, find a logarithmic equation that r...
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 3.3.91: Curve Fitting In Exercises 8992, find a logarithmic equation that r...
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 3.3.93: Galloping Speeds of Animals Fourlegged animals run with two differ...
 3.3.94: Nail Length The approximate lengths and diameters (in inches) of co...
 3.3.95: Comparing Models A cup of water at an initial temperature of is pla...
 3.3.96: Graphical Analysis Use a graphing utility to graph the functions an...
 3.3.97: True or False? In Exercises 97102, determine whether the statement ...
 3.3.98: True or False? In Exercises 97102, determine whether the statement ...
 3.3.99: True or False? In Exercises 97102, determine whether the statement ...
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 3.3.101: True or False? In Exercises 97102, determine whether the statement ...
 3.3.102: True or False? In Exercises 97102, determine whether the statement ...
 3.3.103: Using the ChangeofBase Formula In Exercises 103106, use the chang...
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 3.3.105: Using the ChangeofBase Formula In Exercises 103106, use the chang...
 3.3.106: Using the ChangeofBase Formula In Exercises 103106, use the chang...
 3.3.107: Discussion A classmate claims that the following are true. (a) (b) ...
 3.3.108: HOW DO YOU SEE IT? The figure shows the graphs of and Match each fu...
 3.3.109: Think About It For how many integers between 1 and 20 can you appro...
Solutions for Chapter 3.3: Properties of Logarithms
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 3.3: Properties of Logarithms
Get Full SolutionsPrecalculus with Limits was written by and is associated to the ISBN: 9781133947202. Chapter 3.3: Properties of Logarithms includes 109 full stepbystep solutions. Since 109 problems in chapter 3.3: Properties of Logarithms have been answered, more than 36141 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

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

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Differentiable at x = a
ƒ'(a) exists

Direct variation
See Power function.

Inductive step
See Mathematical induction.

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

Parametric curve
The graph of parametric equations.

Partial sums
See Sequence of partial sums.

PH
The measure of acidity

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Rectangular coordinate system
See Cartesian coordinate system.

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Relevant domain
The portion of the domain applicable to the situation being modeled.

Response variable
A variable that is affected by an explanatory variable.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Scalar
A real number.