Understand inverse relationship of exponents and logarithms

Start lessonBegins with Logarithm as inverse function · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.BF.B.5

**HSF.BF.B.5**: (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

HSF.BF.B.5: (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

What you'll learn

State that the logarithm function y = log_b(x) is the inverse of the exponential function y = b^x
Convert between exponential form (bʸ = x) and logarithmic form (log_b(x) = y) fluently
Evaluate logarithmic expressions by converting to "what exponent?" questions: log_2(8) = ? -> 2^? = 8 -> 3
Use the inverse relationship to simplify compositions: b^(log_b(x)) = x and log_b(b^x) = x
Solve exponential equations using logarithms: b^x = c -> x = log_b(c)
Solve logarithmic equations using exponents: log_b(x) = c -> x = bᶜ

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