The Nature of Mathematics, 12th Edition
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Section 10.1 Homework Hints

    Problems 1-4
    There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. The answers to these questions can be found by reading the text and the ideas discussed are essential to a proper understanding of the material of this chapter. You should spend about five minutes in answering each of these questions.
    Problems 5-8
    The answers to these questions can be found by reading the text and the ideas discussed are essential to a proper understanding of the material of this chapter. You should spend about five minutes in answering each of these questions.
    Problems 9-12
    If you wish to write bx = N in logarithmic form, solve for the exponent, x. To do this remember that x is the exponent of the base b that gives the answer N. See Example 2.
    Problems 13-18
    If you wish to write log to the base b of N = x, use the definition of exponent to write
    bx  = N. See Example 3.
    Problems 19-22
    Solve the for expoentent x. See Examples 4 and 8.
    Problems 23-28
    Use your calculator. See Example 5.
    Problems 29-32
    Your calculator has a base 10 key (labeled LOG), and for these problems you need to change the given logs to a base 10. To evaluate a logarithm to a base b, first find the log to the base 10 of the number and then divide by the log of the given base. See Examples 6 and 7.
    Problems 33-36
    Your calculator has a base e key (labeled LN), and for these problems you need to change the given logs to a base e. To evaluate a logarithm to a base b, first find the LN (log to the base e) of the number and then divide by the LN of the given base.
    See Example 7.
    Problems 37-41
    Solve for the exponent using the definition of logarithm. See Example 9.
    Problems 42-44
    First solve for the exponent (using the definition of logarithm), and then solve the resulting equation for the variable. See Example 10.
    Problems 45-48
    Use the given logarithmic equation and calculator to find a, the risk of an accident.
    Problems 49-52
    In each case, use the logarithmic equation to evaluate the desired variable.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/

    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the linksĂin the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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