There are many problems throughout the text labeled
IN YOUR OWN WORDS. Just relax; do not be afraid to give
your opinion. For the most part, these questions do
not have "right" or "wrong" answers. You should spend
about five minutes in answering each of these questions.
These problems are testing your knowledge of the definition
of logarithm, as well as the fundamental property of
Use the Grant's tomb properties to answer find these
values. Do not use a calculator or a paper and
pencil because these answers should be obvious.
If they are not, then you are not understanding the
definition of logarithm.
Do not use your calculuator, but do these problems mentally
about the definition of logarithm.
For example, in Problem 23a think, "What is
the exponent on a base 5 that gives 25?"
In Problem 25a, think "5 is the exponent on
a base 10 which gives the value x?
Use the properties of logarithms; see Example 3.
Use the given pH formula. Use your calculator
and substitute into the formula the given value and
Here are two nice applications of logarithmic equations.
Evaluate these formulas using the given value.
parts of these problems should be compared
as you do these problems. Part a
is an equation
from beginning algebra. As you do this part think
about what you are doing to solve for x
when you are doing part b
, notice that this part
uses the same steps that you used in part a
For example, in Problem 37, the
first step is to add 2 to both sides; note in part b,
log 100 is the number 2. The second step is to
multiply both sides by 2 to find the value of x
in part a and the value of log x in part
b. Once you have a value for log x, use
the definition of logarithm to solve for x.
Use the definition of logarithms; see Example 5.
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
There are many sources for homework help on the internet.
Ask Dr. Math
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.
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.
This site provides online graphing calculators. This
is especially useful if you do not have your own calculator.
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 links in the
Mathematics Home Page
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