SPS SPS SM 2023 October — Question 6

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2023
SessionOctober
TopicExponential Equations & Modelling

6. In part (ii) of this question you must show detailed reasoning.
  1. Use logarithms to solve the equation \(8 ^ { 2 x + 1 } = 24\), giving your answer to 3 decimal places.
    (2)
  2. Find the values of \(y\) such that $$\log _ { 2 } ( 11 y - 3 ) - \log _ { 2 } 3 - 2 \log _ { 2 } y = 1 , \quad y > \frac { 3 } { 11 }$$ [BLANK PAGE]