Simplify $2^{3x - 4} \times 9^{x - 3} = 6^{2(x - 2)}$ in the form \(\left(\frac{m \times n}{36}\ri

Question

Simplify $2^{3x - 4} \times 9^{x - 3} = 6^{2(x - 2)}$ in the form $\left(\frac{m \times n}{36}\right)^x = 9$, where $m$ and $n$ are integers. Hence solve for $x$, giving your answer in the simplest form $\frac{\ln a}{\ln b}$, where $a$ and $b$ are integers.[5]

Accepted Answer

$ \left( \frac{8 \times 9 }{36} \right)^x = 9$; $x = \frac{\ln{9}}{\ln{2}} $

2024 CCHY P1 Q8

2024 CCHY P1 Q8