Precalculus A Fuctional Approach to Graphing and Problem Solving
Home


Section 4.7: Exponential Equations

Problems 1-4
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.
Problems 5-6
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.
Problems 7-9
Match up each equation with one of the parts of Example 1.
Problems 10-11
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.
Problems 12-14
You should be able to answer these equations without using a calculator.
Problems 15-24
See Example 2.
Problems 25-29
Solve these as quadratic equations by factoring.
Problems 30-34
Solve these as quadratic equations by using the quadratic formula. See Example 9.
Problems 35-36
Solve these as quadratic equations; in Problem 35 solve for 3 x and in Problem 36 for 4x. Then, solve for x by using the definition of logarithm.
Problems 37-38
Use the definition of logarithm and then solve the resulting logarithmic equation.
Problems 39-40
Divide both sides of the equations by an appropriate number.
Problems 41-48
Solve the equations, using the definition of logarithm along the way.
Problems 49-50
Use the definition of logarithms to solve for t.
Problems 51-52
See Examples 4 and 5.
Problems 53-54
See Example 3.
Problem 55
See Example 6.
Problem 56
See Example 7.
Problems 57-58
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.

< Back to Section 7


© 2011 Karl J. Smith. All rights reserved.