0606 P13 - Jun 2022 - Q3 - 8 marks
7804
(a) Find the exact solution of the equation
\(2\mathrm e^{6x}-3\mathrm e^{3x}-5=0.\)
(b) Solve the simultaneous equations
\(\mathrm e^{4x-7}\div \mathrm e^{5x+7y}=\frac{1}{\mathrm e^2},\)
\(xy+18=0.\)
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