Logarithm questions

(31) If \( \log_{2}(16) = x \), what is the value of \( x \)?

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



(32) If \( \log_{5}(625) = x \), what is the value of \( x \)?

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



(33) 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) \(q – p\)



(34) Solve for \( x \) in the equation \( 5^x = 125 \).

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



(35) If \( \log_{3}(x) = 2 \) and \( \log_{9}(x) = 1 \), what is \( \log_{27}(x) \)?

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


Author: user