Table of Contents

## What does B do in a logarithmic function?

The logarithmic function g(x) logb(x) is the **inverse of an exponential function f(x) bx. and so the meaning of y logb(x) is by x. The expression by x is said to be the exponential form for the logarithm y logb(x). The positive constant b is called the base (of the logarithm.)**

## What is true about logarithmic functions?

The domain of a logarithmic function is **real numbers greater than zero, and the range is real numbers. The graph of y log**ax is symmetrical to the graph of y ax with respect to the line y x. This relationship is true for any function and its inverse.

## How does the base affect a logarithmic function?

From this analysis, it can be concluded that as the base of a logarithmic function **increases, the graph approaches the asymptote of x 0 quicker. Also, the function may increase at a slower rate as the base increases.**

## What is the base of the logarithms used?

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