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Algebra 2 · Chapter 8 · Lesson 8.4 · Printable PDF

Laws of Logarithms Worksheet with Answer Key

5 problems on the laws of logarithms: exact values from the product and quotient laws, writing logs in terms of p and q, true-or-false statements, a slide rule that multiplies by adding lengths, and proving the power law from the product law. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Laws of logarithms worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Use the laws of logarithms to find each exact value.
    \log_{12} 3 + \log_{12} 48\log_7 245 - \log_7 5\log 0.5 + \log 20\log_5 3 - \log_5 75\log_6 3 + \log_6 8 + \log_6 9
  2. Write each logarithm in terms of p and q, where p and q are given logs.
    \log_b 21\log_b 49\log_b \dfrac{7}{9}\log_b \dfrac{b}{7}\log_b \dfrac{1}{21}
  3. Decide if each statement is true and name the law that gives it.
  4. Word problem: how a slide rule's 25 cm scales multiply by adding lengths.
  5. Show the power law for the cube from the product law only.

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The free lesson teaches it with worked examples and practice problems.

Laws of logarithms: the lesson ›

More Chapter 8 worksheets: Logarithms