Logarithm questions

(11) If \( \log_{4}(16) = x \), what is the value of \( x \)?

  • (a) 2
  • (b) 4
  • (c) 1
  • (d) 0



(12) If \( \log_{7}(49) = x \), what is the value of \( x \)?

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



(13) If \( \log_{10}(0.001) = x \), what is the value of \( x \)?

  • (a) -3
  • (b) -2
  • (c) -1
  • (d) 0



(14) If \( \log_{a}(x) = y \) and \( \log_{a}(z) = w \), what is \( \log_{a}(xz) \)?

  • (a) \(y + w\)
  • (b) \(y \cdot w\)
  • (c) \(y – w\)
  • (d) \(y / w\)



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

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


Author: user