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Understanding Logarithmic Transformations and Properties in Mathematics

This homework and quiz assignment focuses on the transformations of logarithmic functions from their parent graphs. Students will explore the logarithm base 9 of 81, relating it to exponential equations. The assignment includes practice in evaluating logarithms, rewriting logarithmic equations as exponential equations, and vice versa. Additionally, students will learn to simplify logarithmic expressions using properties of logarithms through various discussions and practice exercises. This comprehensive approach will enhance understanding of logarithmic functions in mathematics.

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Understanding Logarithmic Transformations and Properties in Mathematics

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Presentation Transcript

  1. Homework Quiz Describe the transformations of this function from its parent graph

  2. Discussion The “log base 9 of 81” is equal to the exponent 9 would have to be raised to for it to equal 81.

  3. Notes If: Logarithms Then:

  4. Practice Evaluate each logarithm.

  5. Discussion Rewrite this logarithmic equation as an equivalent exponential equation.

  6. Practice Rewrite each equation as an equivalent exponential equation.

  7. Practice Rewrite each equation as an equivalent logarithmic equation.

  8. Notes Properties of Logarithms

  9. Discussion Simplify the expression by condensing.

  10. Practice Use properties of logarithms to expand the expression.

  11. Discussion Expand the expression.

  12. Practice Use properties of logarithms to expand the expression.

  13. Class Work

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