Logarithm questions

(61) If \( \log_{2}(32) = x \), what is the value of \( x \)?

  • (a) 5
  • (b) 6
  • (c) 4
  • (d) 7



(62) If \( \log_{4}(256) = x \), what is the value of \( x \)?

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



(63) 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) \(q – p\)



(64) Solve for \( x \) in the equation \( 6^x = 216 \).

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



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

  • (a) 4
  • (b) 6
  • (c) 8
  • (d) 10


Author: user