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# Log Lattice

Thank you to everyone who submitted solutions to this problem.

Jessica form Tiffin Girls school has found a really nice way of organising all the given logarithms into a table.

This table nicely captures all the information we can get about the relative sizes of the logarithms without calculating them, by making use of the fact that $\log_b{a}$ increases in size as you increase $a$ or decrease $b$.

It also makes it much easier to read off all the different ways you could complete the given grid, of which there are quite a few. Here is one way Jessica has given to complete the grid.

You can read Jessica's full solution here .

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Age 16 to 18

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Thank you to everyone who submitted solutions to this problem.

Jessica form Tiffin Girls school has found a really nice way of organising all the given logarithms into a table.

This table nicely captures all the information we can get about the relative sizes of the logarithms without calculating them, by making use of the fact that $\log_b{a}$ increases in size as you increase $a$ or decrease $b$.

It also makes it much easier to read off all the different ways you could complete the given grid, of which there are quite a few. Here is one way Jessica has given to complete the grid.

You can read Jessica's full solution here .