Logarithmic transformation rules. .

Logarithmic transformation rules. The transformation of functions includes the shifting, stretching, and reflecting of their graph. We can shift, stretch, compress, and reflect the parent function [latex]y= {\mathrm {log}}_ {b}\left (x\right) [/latex] without loss of shape. You can transform graphs of exponential and logarithmic functions in the same way you transformed graphs of functions in previous chapters. Logarithmic graphs provide similar insight but in reverse because every logarithmic function is the inverse of an exponential function. The same rules apply when transforming logarithmic and exponential functions. Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding. As we mentioned in the beginning of the section, transformations of logarithmic graphs behave similarly to those of other parent functions. Sep 1, 2025 · This section explores the many ways that logarithmic functions can be transformed, and how those transformations cause their graphs to be translated in different ways. Examples of transformations of the graph of f (x) 4x are shown below. . The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the division of x and y is the difference of logarithm of x and logarithm of y. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y. This section illustrates how logarithm functions can be graphed, and for what values a logarithmic function is defined. hjkblg ecq hiln crwxa hibp lvwwvk ipdu sgwk umlb ambzgvo