A physics researcher is investigating the relationship between the intensity of light, $y$ , and the distance, $x$ , from a specialized laser source. The researcher finds that there is a linear relationship between $log_{10} y$ and $log_{10} x$ . The line representing this relationship passes through the points $(1, 7)$ and $(4, 1)$ .

Determine an equation linking $log_{10} y$ with $log_{10} x$ .

Hence, or otherwise, express $y$ in the form $px^q$ , where $p$ and $q$ are constants to be found.

Determine an equation linking $log_{10} y$ with $log_{10} x$ .

Hence, or otherwise, express $y$ in the form $px^q$ , where $p$ and $q$ are constants to be found.

1.6 Exponentials and logarithms

Question 55

Markscheme

1.6 Exponentials and logarithms

Question 55

Markscheme

1.6 Exponentials and logarithms

Question 55

1.6 Exponentials and logarithms Questions

1.6 Exponentials and logarithms

Question 55

1.6 Exponentials and logarithms Questions