10^{2.55+1.68} = 10^4.23 ≈ 17000 What’s the shortcut by which the author calcula... | Hacker News

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		nequo on May 3, 2023 \| parent \| context \| favorite \| on: Learning Some Logarithms `10^{2.55+1.68} = 10^4.23 ≈ 17000` What’s the shortcut by which the author calculates the approximation without a calculator in the second step here?

isaacfrond on May 3, 2023 [–]

10^4.23 = 10^4 * 10^.23

Since (log1.6≈0.2) we estimate the above to be 10000 * 1.7 = 17000

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