4.01: Logarithmic and exponential equations

0606/12/F/M/26 — Question 10 · 10 marks

(a)
Given that \(\log_5(x^2)-\log_5x-3\log_x5=2\), find \(x\).
[6]
(b)
Solve the equation \(2\times8^{2x+1}-3\times2^{3x+4}-64=0\).
[4]