Description

Turning to expressions with variables in the powers, we explore exponential functions and their inverse functions, logarithmic functions. In this topic, we investigate exponential functions; logarithmic functions; properties of logarithms; solving exponential and logarithmic equations; solving compound interest problems and applications to real world scenarios.

Sections of this topic include:

1. Exponential Functions

   We begin this topic by exploring what an exponential function is and it's applications. Groups within this section include: evaluating and graphing exponential functions; solving exponential equations; compounding interest.

2. Logarithmic Functions

   Exploring the inverse function of an exponential function, we arrive at logarithmic functions. Groups within this section include: writing exponential equations in logarithmic form; writing logarithmic equations in exponential form; solving logarithmic equations; simplifying more logarithms.

3. Properties of Logarithms

   We next investigate properties of logarithms. Groups within this section include: expanding logarithms using properties of logarithms; compressing logarithms using properties of logarithsm; veritfying properties of logarithms; solving logarithmic equations; evaluate logarithms using properties of logarithms and calculators.

4. Solving Exponential and Logarithmic Equations

   One of the last types of equations we solve in this subject is that of both exponential and logarithmic equations. Groups within this section include: solving logarithmic equations; and solving exponential equations.

5. More Applications

   In this section, we investigate real world applications using both exponential or logarithmic functions.