Logarithm questions

(41) If \( \log_{3}(9) = x \), what is the value of \( x \)?

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



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

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



(43) 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) \(q – p\)



(44) Solve for \( x \) in the equation \( 2^x = 256 \).

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



(45) If \( \log_{4}(x) = 3 \) and \( \log_{16}(x) = 2 \), what is \( \log_{64}(x) \)?

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


Author: user