Practice Problems

Answers

  1. Use the rule: \log(a) + \log(b) = \log(a \cdot b).

    \log(3) + \log(2) = \log(3 \cdot 2)

    = \log(6)


  2. Use the rule: n \cdot \log(a) = \log(a^{n}).

    2\log(5) = \log(5^{2})

    = \log(25)


  3. Use the rule: \log(a) - \log(b) = \log(\frac{a}{b})

    \log(12) - \log(3) = \log(\frac{12}{3})

    = \log( 4 )


  4. Use the rule: \log(a) + \log(b) = \log(a \cdot b).

    \log(2) + \log(4) = \log(2 \cdot 4)

    = \log(8)