Common Core · High school
HSA-REI.D.11
High school — Explain why the x-coordinates of the points where the graphs of y = f(x) and y = g(x) intersect are the solutions of f(x) = g(x); find the solutions approximately, including cases where f(x) and/or g(x) are exponential or logarithmic functions.
The skill that covers it
What a student should be able to do
- Solve an exponential equation by matching bases or by taking a logarithm of both sides.
- Solve a logarithmic equation by rewriting it in exponential form or by condensing first.
- Reject a solution that makes the argument of a logarithm zero or negative.
- Find the time for an exponential model to reach a given amount.