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6.04 Applications of logarithms

Interactive practice questions

The number line below has a $\log_{10}$log10 scale. Plot the number $100$100 on the scale below, by first finding $\log_{10}100$log10100.

-5-4-3-2-1012345
Easy
< 1min

The lifespans of various animals and insects are shown in the table below.

Easy
4min

Below is a table of values that shows a log scale relating $x$x and $y$y. Form an equation relating $x$x and $y$y. Express the equation in logarithmic form.

Easy
1min

The histogram below shows the area (in km2) for $12$12 countries, plotted using a log scale.

Easy
1min
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Outcomes

3.1.1.2

interpret and use logarithmic scales such as decibels in acoustics, the Richter scale for earthquake magnitude, octaves in music, pH in chemistry

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