Module 15/16: Logarithmic Functions

What are the Questions?

Define and graph exponential and logarithmic functions.
Determine the domain and ranges of exponential and logarithmic functions.
Identify properties of logarithmic functions including the Product, Quotient, Power, and Change of Base Rules and use the properties to rewrite logarithmic functions.
Find a symbolic representation of the sum, difference, product, quotient, and composition of two functions.
Define and evaluate common and natural logarithms.
Write exponential equations as logarithmic equations and logarithmic equations as exponential equations using the definition of a logarithm.
Use the inverse relationship between the exponential function and logarithmic function to solve exponential and logarithmic equations.
Evaluate applications involving exponential and logarithmic functions and equations including exponential growth and decay and periodic and continuous compounding.
Use the one-to-one property of exponential functions to solve one-to-one exponential equations.
Interpret the graphs of functions.
Find the inverse of a function represented symbolically, graphically, or numerically.
Evaluate exponential and logarithmic functions using the change of base formula and a calculator.