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Outcomes

In this lesson you will

• use inverses and graph the function and reflect it in the line
• discover the logarithmic function

By the end of this section students will be able to:

• demonstrate an understanding, algebraically and graphically, that the inverse of an exponential function is a logarithmic function
• demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
• demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
• apply real number exponents in expressions and equations
• model real-world phenomena using exponential functions

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• solving exponential functions by converting to the same base
• determine the equation of exponential functions without using technology
• understand the meaning of zero and negative exponents