Does anyone know of any PROOF WITHOUT WORDS for logarithmic functions? The only one I've seen in calculus based and I need one for high school math kids in MATH 1,2,3.
Any suggestions would be appreciated!
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4$\begingroup$ Hi, I think you would be better off at matheducators.stackexchange.com $\endgroup$– András BátkaiCommented May 16, 2016 at 6:36
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$\begingroup$ There might be something at mathoverflow.net/questions/8846/proofs-without-words $\endgroup$– Gerry MyersonCommented May 16, 2016 at 7:03
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1 Answer
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Here are some:
http://www.mat.uniroma2.it/~liverani/Inform04/Logarithm.pdf (Proof without words: ln(a · b) = ln a + ln b)
http://www.maa.org/sites/default/files/Ferlini-MaMag-2001.pdf (Proof Without Words: Logarithm of a Number and Its Reciprocal).
https://www.jstor.org/stable/2690586 (Proof without Words: The Arithmetic-Logarithmic-Geometric Mean Inequality) reproduced in http://apcentral.collegeboard.com/apc/public/repository/ap08_Nelsen_proofs.pdf (A Sampler of Visual Proofs in First-year Calculus).
answered May 16, 2016 at 7:40