The variables $x$ and $y$ are defined such that $\log_2 x - 3\log_4 y = \log_9 3$. Give a

Question

The variables $x$ and $y$ are defined such that $\log_2 x - 3\log_4 y = \log_9 3$. Give a reason why $x$ and $y$ must be positive numbers.[1] Express $x$ in terms of $y$.[5] Solve the equation $5^{x+1} + 2(5^{-x}) = 11$, leaving non-exact value(s) of $x$ in the form $\log_a b$.[4]

Accepted Answer

(b)(i) $x>0,y>0$. (b)(ii) $x=\sqrt{2y^3}$. (c) $x=-1$ or $x=\log_5 2$.

2025 CHS PRELIMS P2 Q3

2025 CHS PRELIMS P2 Q3

Solution:

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