Logarithm questions

(51) If \( \log_{3}(27) = x \), what is the value of \( x \)?

  • (a) 3
  • (b) 2
  • (c) 4
  • (d) 1



(52) If \( \log_{10}(0.001) = x \), what is the value of \( x \)?

  • (a) -3
  • (b) -2
  • (c) -4
  • (d) -1



(53) If \( \log_{a}(x) = p \) and \( \log_{b}(x) = q \), what is \( \log_{ab}(x) \)?

  • (a) \(p + q\)
  • (b) \(p \cdot q\)
  • (c) \(p – q\)
  • (d) \(q – p\)


(54) If \( \log_{5}(125) = x \), what is the value of \( x \)?

  • (a) 3
  • (b) 2
  • (c) 1
  • (d) 4



(55) If \( \log_{2}(64) = x \), what is the value of \( x \)?

  • (a) 6
  • (b) 7
  • (c) 5
  • (d) 8


Author: user