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!


Here are some:

http://www.mat.uniroma2.it/~liverani/Inform04/Logarithm.pdf (Proof without words: ln(a ยท 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).

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