Given that $\log_3{x} - \log_3{(x - 5)} = \log_3{A}$, express $A$ in terms of $x$.[6] Hen

Question

Given that $\log_3{x} - \log_3{(x - 5)} = \log_3{A}$, express $A$ in terms of $x$.[6] Hence or otherwise, solve the equation $\log_3{x} - \log_3{(x - 5)} = 1$.

Accepted Answer

(a) $A=\frac{x}{x-5}$ (b) $x=\frac{15}{2}$

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions

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