1.6 Exponentials and logarithms

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Question 78

The intensity $I\,$ of radiation at a distance $d\,$ from a source is modeled by the equation

\frac{10^9}{d^3}, \quad d > 0

Sketch the graph of $log_{10} I$ against $log_{10} d$ . Show on your sketch the coordinates of the points of intersection of the graph with the axes.

[4]

ii.

A biologist monitors the growth of a bacterial colony. The relationship between the population size $P\,$ and time $t$ (in hours) is represented by a linear relationship between $log_5 P\,$ and $t$ . The graph of $log_5 P\,$ against $t\,$ is a straight line passing through the points $(0, 2)$ and $(- 10, 0)$ . Show that $P = ab^t$ where $a\,$ and $b\,$ are constants to be found.

[5]

The intensity $I\,$ of radiation at a distance $d\,$ from a source is modeled by the equation

\frac{10^9}{d^3}, \quad d > 0

Sketch the graph of $log_{10} I$ against $log_{10} d$ . Show on your sketch the coordinates of the points of intersection of the graph with the axes.

[4]

1.6 Exponentials and logarithms

Question 78

Markscheme

1.6 Exponentials and logarithms

Question 78

Markscheme

1.6 Exponentials and logarithms

Question 78

1.6 Exponentials and logarithms Questions

1.6 Exponentials and logarithms

Question 78

1.6 Exponentials and logarithms Questions