Common Core Math
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Learning Goal

Part of: Build new functions from existing functions — 7 of 7 cluster items

Understand inverse relationship of exponents and logarithms

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.

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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

  1. State that the logarithm function y = log_b(x) is the inverse of the exponential function y = bˣ
  2. Convert between exponential form (bʸ = x) and logarithmic form (log_b(x) = y) fluently
  3. Evaluate logarithmic expressions by converting to "what exponent?" questions: log₂(8) = ? → 2^? = 8 → 3
  4. Use the inverse relationship to simplify compositions: b^(log_b(x)) = x and log_b(bˣ) = x
  5. Solve exponential equations using logarithms: bˣ = c → x = log_b(c)
  6. Solve logarithmic equations using exponents: log_b(x) = c → x = bᶜ

Slides

Interactive presentations perfect for visual learners • In development

Slides

In development

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