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!
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 · 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).