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Logarithm: Inverse of Exponents

Rules and Formula of Logarithms

Formula and laws of logarithms

  • Product rule: logbAC = logbA + logbC
    • Ex: log464 = log44 + log416 = log4(4•16)
  • Quotient rule: logb(A/C) = logbA − logbC
    • Ex: log3(27/9)= log327 − log39 = 3 − 2 = 2
  • Power rule: logbAC = C(logbA)
    • Ex: log39² = 2log9
  • Practice Problem 1) If log x = 4and log y =2 what is the numeric value of
    Step 1

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