##
EXPONENTIAL EQUATIONS

Note:

- To solve an exponential equation, isolate the exponential term, take
the logarithm of both sides and solve.

If you would like an in-depth review of exponents, the rules of exponents,
exponential functions and exponential equations, click on exponential function

**Solve for the real number x in the following equation.**

**
**

Problem 7.1d:

Answer:There is no real answer.

Solution:

If you did not make this observation early on, you'd catch it during the
process of solving or checking your answer.

Take the natural logarithm of both sides of the equation

You cannot take the natural logarithm of a negative number and come up with
a real number answer.

You can also check your answer by graphing (formed
by subtracting the right side of the original equation from the left side).
Look to see where the graph crosses the x-axis; that will be the real
solution. Note that the graph never crosses the x-axis. This means that
there is no real solution.

**
If you would like to go back to the beginning of this section, click
on Beginning.
**

If you would like to go to the next level of solving exponential equations,
click on Next.

If you would like to go back to the equation table of contents, click
on Contents.

This site was built to accommodate the needs of students. The topics and
problems are what students ask for. We ask students to help in the editing
so that future viewers will access a cleaner site. If you feel that some of
the material in this section is ambiguous or needs more clarification,
please let us know by e-mail.
*
*

*
*

[Algebra]
[Trigonometry]
[Geometry]
[Differential Equations]
S.O.S MATHematics home
page

Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

Author:
Nancy Marcus

Copyright © 1999-2019 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour