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Beginning with a formal definition of an exponential function, the lesson then compares the graphs of increasing and decreasing exponential functions.

The lesson begins with an application problem to motivate the necessity and use of a logarithm. The formal definition linking logs and exponents is then introduced.

The properties of logarithms are presented after the corresponding laws for exponents are reviewed.
The lesson begins with population application problems looking at doubling time, the constant time that it takes for an exponentially modeled population to double.
This lesson introduces logarithmic scales as a means for plotting data that might otherwise be difficult plot due to their widely varying values.
Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced.
The lesson begins with the definition of an algebraic fraction and then a quick review of the fundamental principle of fractions.
The four arithmetic operations on fractions are given here, but in each case examples of using the operation on ordinary fractions is first reviewed, helping to ground the new material in the unde
The lesson begins with a definition of a "complex" fraction and then presents a procedure for simplifying them (multiplying the numerator and the denominator by the lcd of all fractions contained
The lesson begins with using the lcd to clear the fractions in the equation, and then a review of proportions follows to motivate the "shortcut" of cross multiplication for equations containing on