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

ln (x) is defined for positive values of x. ln (x) is not defined for real non positive values of x. ln (x) function graph. Natural logarithm graph.

Free online graphing calculator - graph functions, conics, and inequalities interactively

Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

Jul 13, 2024 · ln 1 = 0 since e⁰ = 1, and ln e = 1 since e¹ = e. But, presumably, the most important natural logarithm is the one that calculates the value of a number between 1 and e, which turns out to be the number 2. Using the natural log calculator, we get. ln 2 = 0.6931.

The natural logarithm of a positive, real number a may be defined as the area under the graph of the hyperbola with equation y = 1/x between x = 1 and x = a. This is the integral [ 4 ] ln ⁡ a = ∫ 1 a 1 x d x . {\displaystyle \ln a=\int _{1}^{a}{\frac {1}{x}}\,dx.}

Below is a graph of the natural logarithm function. Like the graph of the logarithm of any other base, the natural logarithm function has an x-intercept, or zero/root at x = 1, as shown by the point (1, 0) in green. At x = e), the function has a value of 1. In other words: ln(e) = 1. ln(1) = 1. As x approaches 0, ln(x) approaches -∞.

Natural logarithm is the logarithm to the base e of a number. Natural logarithm rules, ln (x) rules.