Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

Logarithmic functions are an essential part of many mathematical and scientific concepts. These functions have several properties that can help us solve complex equations and understand the behavior ...

Copyright © 2014 Mitsunobu Miyake. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use ...

This note elaborates Suppes’ (1977, Erkenntnis Vol. 11, No. 1, pp 233-250) derivation of the logarithmic function as a consumer’s cardinal utility function on money income levels, in which the ...