3.20: Exponential equation and simultaneous equations

0606/13/M/J/22 — Question 3 · 8 marks

(a)
Find the exact solution of the equation 2e6x3e3x5=02e^{6x}-3e^{3x}-5=0.
[3]
(b)
Solve the simultaneous equations
ex+ey=4,xy=18.e^{x}+e^{y}=4,\qquad xy=18.
[5]