In this lesson, students continue to develop their understanding of logarithms by working with expressions and equations in some bases other than 10. They analyze a base 2 logarithm table and use it to evaluate logarithmic expressions and solve equations.
Students also learn that an equation written in exponential form has an equivalent equation in logarithmic form. They practice writing equivalent equations in both forms, reinforcing the connection between the structures of a logarithm and an exponential expression (MP7). Use of technology to evaluate logarithms is not recommended in this lesson.
Lesson overview
 10.1 Warmup: Reading Logs (5 minutes)
 10.2 Activity: Base 2 Logarithms (15 minutes)

10.3 Activity: Exponential and Logarithmic Forms (15 minutes)
 Includes "Are you Ready for More?" extension problem
 Lesson Synthesis
 10.4 Cooldown: Writing in Different Forms (5 minutes)
Learning goals:
 Coordinate (orally and in writing) exponential and logarithmic equations that represent the same relationship.
 Create equivalent equations in exponential and logarithmic forms.
Learning goals (student facing):
 Let’s look at logarithms with different bases.
Learning targets (student facing):
 I understand how to evaluate a logarithmic expression.
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