Quotient rule of logarithms

Quotient rule of logarithms

Lessons

logb(X÷Y)=logbXlogbY \log_b(X \div Y) = \log_b X - \log_b Y
  • 1.
    Without using a calculator, evaluate: log5(25÷35) {\log_5(25 \div {^3}\sqrt{5})}

  • 2.
    Evaluate:
    a)
    log28000log21000\log_2 8000 - \log_2 1000

    b)
    log500log5\log 500 - \log 5