Logarithm questions

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

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



(17) If \( \log_{6}(216) = x \), what is the value of \( x \)?

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



(18) If \( \log_{b}(a) = p \) and \( \log_{c}(a) = q \), what is \( \log_{c}(b) \)?

  • (a) \(\frac{p}{q}\)
  • (b) \(p + q\)
  • (c) \(p – q\)
  • (d) \(\frac{q}{p}\)



(19) Solve for \( x \) in the equation \( 4^x = 64 \).

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



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

  • (a) 3
  • (b) 4
  • (c) 5
  • (d) 6


Author: user