Exponential Expressions

Exponential Expressions

An exponential expression is one which contains an exponent.

Since we have already dealt with many exponential expressions in the unit on “Negative and Fractional Exponents”, this section will be devoted to working with exponential expressions that contain e.

e is an irrational number, approximately 2.71828183, named after the 18th century Swiss mathematician, Leonhard Euler.

\(e^x \), such as f (x) =\(e^x \), is called the natural exponential function.

It is important to remember that the natural logarithm function, ln, and the natural exponential function, ex, are inverse functions. (For more information on these functions see Exponential and Logarithmic Functions.) When a function is composed with its inverse, the starting value is returned.
Examples
Exponential-Equations-1

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