Write each of these
equations so there is the same base on both sides of the
equation and then equate the exponents. You do not need
a calculator to solve these equations.
Use the definition
of logarithms to solve each of the equations for the exponent.
Then, solve for the exponent. You do not need a calculator
to solve these equations.
Match up each equation
with one of the parts of Example 1.
Solve for the base with exponent and then use the definition of exponent. You may find exact or approximate value, as shown in Example 2.
You should be able
to answer these equations without using a calculator.
See Example 2.
Solve these as
quadratic equations by factoring.
Solve these as
quadratic equations by using the quadratic formula. See
Example 9.
Solve these as
quadratic equations; in Problem 35 solve for 3 ^{x} and
in Problem 36 for 4^{x}. Then, solve for x
by using the definition of logarithm.
Use the definition
of logarithm and then solve the resulting logarithmic equation.
Divide both sides
of the equations by an appropriate number.
Solve the equations,
using the definition of logarithm along the way.
Use the definition
of logarithms to solve for *t*.
See Examples 4
and 5.
See Example 3.
See Example 6.
See Example 7.
Formulate an appropriate
formula and then draw the graph.
**Note: **Homework Hints are given only for Level 1 and
Level 2 problems. Hints are generally not given for **IN
YOUR OWN WORDS**
or **Journal Problems**. You can also check some sources
for homework help on the Links page of this web site. Don't
be afraid to ask your instructor or classmates for help. You
can also send an e-mail to: smithkjs@mathnature.com.
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