OCR C2 Specimen — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
SessionSpecimen
TopicLaws of Logarithms

3
  1. Express each of the following in terms of \(\log _ { 2 } x\) :
    1. \(\log _ { 2 } \left( x ^ { 2 } \right)\),
    2. \(\log _ { 2 } \left( 8 x ^ { 2 } \right)\).
  2. Given that \(y ^ { 2 } = 27\), find the value of \(\log _ { 3 } y\).