OCR C2 2010 June — Question 8

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2010
SessionJune
TopicExponential Equations & Modelling

8
  1. Use logarithms to solve the equation \(5 ^ { 3 w - 1 } = 4 ^ { 250 }\), giving the value of \(w\) correct to 3 significant figures.
  2. Given that \(\log _ { x } ( 5 y + 1 ) - \log _ { x } 3 = 4\), express \(y\) in terms of \(x\).