Variables $x$ and $y$ are related by the equation $y = ax^b - 5$. When $\lg(y + 5)$ is

Question

Variables $x$ and $y$ are related by the equation $y = ax^b - 5$. When $\lg(y + 5)$ is plotted against $\lg x$, a straight line graph is obtained which passes through $(2, -4)$ and $(-2, 8)$, as shown in the diagram. Find the value of $a$ and $b$.

Accepted Answer

$a=100$, $b=-3$

Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

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