When $\lg \left( y+2 \right)$ is plotted against $\lg x$, a straight line graph is obtained

Question

When $\lg \left( y+2 \right)$ is plotted against $\lg x$, a straight line graph is obtained. Given that the line passes through $\left( 2,6 \right)$ and $\left( 7,0 \right)$. Express $y$ in terms of $x$.

Accepted Answer

$y=10^{\dfrac{42}{5}}x^{-\dfrac{6}{5}}-2,\quad x>0$.

Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

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