Edexcel P2 2019 October — Question 7

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2019
SessionOctober
TopicLaws of Logarithms

  1. Given \(\log _ { a } b = k\), find, in simplest form in terms of \(k\),
    1. \(\log _ { a } \left( \frac { \sqrt { a } } { b } \right)\)
    2. \(\frac { \log _ { a } a ^ { 2 } b } { \log _ { a } b ^ { 3 } }\)
    3. \(\sum _ { n = 1 } ^ { 50 } \left( k + \log _ { a } b ^ { n } \right)\)