CAIE A Level Mathematics 9709 · Logarithmic and exponential functions

Logarithmic and exponential functions: calculation question

4 marksChallenge

In an experiment, the variables $x$ and $y$ are believed to satisfy the equation $y = k x^n$ . A graph of $\ln y$ against $\ln x$ is plotted, and it is found to be a straight line passing through the points $( 2, 2 )$ and $( 4, 10 )$ . Find the value of $n$ .

(a)
Determine $n$ .
[4]

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Logarithmic and exponential functions: calculation question

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