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Imagine plotting a graph of $y=2^x$, with $1$cm to one unit on each axis.
How far along the $x$-axis could you go before the graph reached the top of a sheet of paper?
If you extended the graph so the positive $x$-axis filled the whole width of a sheet of paper, how tall would the paper have to be?
How far along the $x$-axis would you have to go so that the graph was tall enough to reach
Try to estimate the answers before calculating them and mark them at the appropriate points along a sketch of the $x$-axis.
Work out where they should be and then add some other results such as the distances to the sun and other stars. What do you notice?
We have provided some data below for you to work from, or you could research suitable data for yourself.