Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

The definition of the natural logarithm can then be extended to give logarithm values for negative numbers and for all non-zero complex numbers, although this leads to a multi-valued function: see …

We discuss how to graph the parent function natural log (y=lnx) as well as translations of of the basic graph. We discuss the domain and range as well as the vertical asymptote in this...

The graph of the function defined by f (x) = ex looks similar to the graph of f (x) = bx where b > 1. This natural exponential function is simply a "version" of the exponential function f (x) = bx As such, the …

May 24, 2024 · What is natural logarithm with properties, graph, and examples. Also, learn how to solve equations with natural logarithm.

Jun 20, 2025 · The natural log graph is a mathematical function that describes the relationship between a variable and its logarithm. It is used to model various natural phenomena, including population …

When sketching a general logarithm with base n, it can be helpful to remember that the graph will pass through the points (1, 0) and (n, 1). To get a feeling for how the base affects the shape of the graph, …

To sketch the graph of the natural logarithm function it is necessary to know its properties. The function is defined for positive numbers only, has x=0 as a vertical asymptote, crosses the...

This video shows how to graph the natural logarithm parent function using “the dance” and using a table, connecting the appearance of the graph with the equation and table, and domain and range of the …

An visual, interactive overview of the graph of logarithms, their properites, relationship to exponential equations, real world applications and an interactive applet