This is a collaborative and engaging partner activity on logarithmic equations of the following types:
▸ log(base b) f(x) + log(base b) g(x) = c
▸ log(base b) f(x) - log(base b) g(x) = c
where b and c are constants and f(x) and g(x) are linear functions involving a parameter a . (Students are given the values of the parameter so they will NOT solve a parametric equation).
There are possible extraneous solutions so students have to determine the domain of the logarithmic functions for each equation.
Activity Directions: There are 10 sections as in each section partners have to solve a logarithmic equation involving the parameter a for two different given values of the parameter. This is a wonderful way for students to work on different, but similar problems and it encourages them to help each other with methods.
Student recording sheet and answer keys are provided.
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