3.78: Exponential and logarithmic equations

0606/21/O/N/22 — Question 4 · 6 marks

(a)
Solve 2x=5x3+12^{x} = 5^{x-3}+1, giving your answer to 3 significant figures.
[3]
(b)
Solve e2y6ey+1=0\mathrm{e}^{2y}-6\mathrm{e}^{y}+1=0, giving answers to 3 significant figures.
[3]