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Logarithm: Rules, rules rules!

Rules and Formula of Logarithms

Formula and laws of logarithms

  • Power rule: logbAC = C(logbA)
  • Product Rule Practice Problems

    Worksheet on product rule of logarithms



    Problem 1) Rewrite log12 + log5 as a single term using the product rule formula
    Answer

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    Problem 2) Rewrite log312 + log311 using the product rule formula
    Answer

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    Problem 3) Rewrite log511 + log5a using the product rule formula
    Answer


    Quotient Rule Practice Problems

    worksheet on the quotient rule of logarithms

    Practice problem 1) Rewrite log20 − log5 as a single term using the quotient rule formula
    Answer

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    Practice problem 2) Rewrite log2100− log225 as a single term using the quotient rule formula
    Answer

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    Practice problem 3) Rewrite log240− log25 as a single term using the quotient rule formula
    Answer

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    Practice problem 4) Rewrite log318− log32 as a single term using the quotient rule formula
    Answer

    Power Rule Practice Problems


    worksheet on the power rule of logarithms

    Practice problem 1) Rewrite log3x2 as a single term using the power rule formula
    Answer

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    Practice problem 2)Rewrite log39x as a single term using the power rule formula
    Answer



    Practice Problems: all rules and formulas
    Practice Problem 1) If log x = 4 and log y =2 what is the numeric value of
    Step 1