A telecommunications engineer is investigating the signal intensity, $S$ (measured in picowatts), at a distance $d$ (measured in metres) from a radio transmitter. The relationship is modelled by $S = ad^b$ , where $a\,$ and $b\,$ are constants.

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

A graph shows a linear relationship between $log_{10} S$ and $log_{10} d$ . The line passes through the points $(1, 8)$ and $(4, 2)$ .

Find an equation linking $log_{10} S$ with $log_{10} d$ .

Hence, or otherwise, express $S\,$ in the form $ad^b$ , where $a\,$ and $b\,$ are constants to be found.

1.6 Exponentials and logarithms

Question 45

Markscheme

1.6 Exponentials and logarithms

Question 45

Markscheme

1.6 Exponentials and logarithms

Question 45

1.6 Exponentials and logarithms Questions

1.6 Exponentials and logarithms

Question 45

1.6 Exponentials and logarithms Questions