1.11: Solve logarithmic equations

4PM1/2/November/2020 — Question 4 · 7 marks

(i) Solve the equation
16logr4=log4r.16\mathrm{log}_r4=\mathrm{log}_4r.
(2)
(ii) Solve the equation
log59+log512+log515+log518=1+log5x+log5x2.\mathrm{log}_59+\mathrm{log}_512+\mathrm{log}_515+\mathrm{log}_518 =1+\mathrm{log}_5x+\mathrm{log}_5x^2.
(5)