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You know that 2^1 = 2, 4^1 = 4, 8^1 = 8 and 10^1 = 10.

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You know that 21 = 2, 41 = 4, 81 = 8 and 101 = 10. What do you notice about the values of log2 2, log4 4, log8 8 and log10 10? What can you generalise from this?

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From the graph log2 2 = log4 4 = log8 8 = log10 10 = 1 

We conclude that loga a = 1 where a is a natural number.

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