12.6 - Exponential equations

Before reading this section you may find it helpful to review the following topics: An exponential equation is one in which the variable to be solved for (call it x) is in an exponent. For example 3 x = 5 is an exponential equation while 3 5 = x is not.

Only certain types of exponential equations can be solved using algebra. We will study the following types:
•   The unknown, x, occurs only once. Example Go to topic
•   The equation is of the form a · b x = c · d x. Example Go to topic
•   The only exponential in the equation is b x, and it occurs several times. Example Go to topic
•   The equation contains the exponentials b x, b 2 x, b 3 x, etc. Example Go to topic