Variables $x$ and $y$ are connected by the equation $y = 10^{k-nx}$, where $n$ and \(k\

Question

Variables $x$ and $y$ are connected by the equation $y = 10^{k-nx}$, where $n$ and $k$ are constants. When a graph of $\lg y$ is plotted against $x$, a straight line passing through the points $(1, 2)$ and $(4, -7)$ is obtained. Find the value of $n$ and of $k$.

Accepted Answer

$k=5$, $n=3$

Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

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