Solve the equation $\log_{2}(x+2) - \log_{\sqrt{2}}(x-1) = 1$.[4] It is given that \(\lg a -

Question

Solve the equation $\log_{2}(x+2) - \log_{\sqrt{2}}(x-1) = 1$.[4] It is given that $\lg a - \lg b = \lg(a+b)$. Express $a$ in terms of $b$.[2] State the range of $b$.[1]

Accepted Answer

(a) $x=\frac{5}{2}$ (b)(i) $a=\frac{b^2}{1-b}$ (ii) $0<b<1$

2025 AHS PRELIMS P1 Q9

2025 AHS PRELIMS P1 Q9

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