Logarithm questions

(21) If \( \log_{8}(64) = x \), what is the value of \( x \)?

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



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

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



(23) 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) \(q – p\)



(24) Solve for \( x \) in the equation \( 10^x = 10000 \).

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



(25) If \( \log_{2}(x) = 6 \) and \( \log_{4}(x) = 3 \), what is \( \log_{8}(x) \)?

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


Author: user