...but you still need to calculate log19
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I’d imagine this is assuming you have a calculator, as 19^2018 is a massive number that most calculators probably can’t handle. Log19, on the other hand, is much easier to process
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Isn't it remarkable how it's *easier* to calculate the *last* four digits?
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Alternative: open Wolfram Alpha in new tab
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And the last digit of 19²⁰¹⁸ is 1 19^odd ends with 9 19^even ends with 1
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Will you provide a proof please?
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how does one do log19 in your head?
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Simple! Just find log 361 and divide by 2!
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How do you find the *last* four?
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19^2018 = (20-1)^2018, then do binomial expansion. You only need to look at a few terms of it.
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