3.53: Exponential equations

0606/21/M/J/23 — Question 4 · 7 marks

(a)
Solve 52y=63y15^{2y} = 6\cdot 3^{y - 1}, giving your answer correct to 3 decimal places.
[3]
(b)
Solve the equation e2x4ex+3=0\mathrm{e}^{2x} - 4\mathrm{e}^{x} + 3 = 0, giving your answers in exact form.
[4]