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

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 $\left( 2,4 \right)$ and $\left( 7,5 \right)$ is obtained. Find the value of $n$ and $k$.

Accepted Answer

$n = -\frac{1}{5} \ ; \quad k = \frac{18}{5}$

Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

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