Logarithm questions

(56) 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) \(q – p\)


(57) If \( \log_{4}(16) = x \), what is the value of \( x \)?

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



(58) If \( \log_{3}(81) = x \), what is the value of \( x \)?

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



(59) 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) \(q – p\)



(60) Solve for \( x \) in the equation \( 7^x = 343 \).

  • (a) 3
  • (b) 2
  • (c) 4
  • (d) 5


Author: user