perplexus.info :: Numbers : Powers often in other bases.

Powers often in other bases. (Posted on 2013-04-07)

Create a table of powers of 10 in binary starting with 10¹ = 1010₂ then create a similar table in base 5 starting with 10¹ = 20₅.

If you look at the lengths of the numbers in the two tables combined, prove there is exactly one each of length 2, 3, 4...

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