Find the exact value(s) of the equation $2\mathrm{e}^{3x} - 5\mathrm{e}^x = 3\mathrm{e}^{-x}$.[4]

Question

Find the exact value(s) of the equation $2\mathrm{e}^{3x} - 5\mathrm{e}^x = 3\mathrm{e}^{-x}$.[4] Given that $\log_a \sqrt{x} = 3$, find $\log_a (ax^2)$.[2]

Accepted Answer

(a) $ x=\frac{\ln3}{2}$ (b) $13 $

2012 CJC H1 Promo Q3

2012 CJC H1 Promo Q3