2.13: Index equations in xx and yy

0606/23/O/N/20 — Question 5 · 5 marks

Solve the following simultaneous equations.
3x×9y1=2433^{x} \times 9^{y - 1} = 2438×2y12=22x+1428 \times 2^{y - \frac{1}{2}} = \frac{2^{2x + 1}}{4\sqrt{2}}
[5]