Log Graphic

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Graph log functions using transformations vertical and horizontal shifts and reflections, vertical stretches. Determine the domain and vertical asymptote of a log function algebraically.

Pick input values that is, x-values that are powers of the base for instance, if the log's base is 5, then pick x-values like 5 2 and 5 1. List the corresponding y-values for instance, log 5 5 2 2 y and log 5 5 1 1 y Plot the points, taking care not to have the graph cross the vertical asymptote. Sketch in the line for

Linear x - Logarithmic y Semi-log graph, Logarithmic x - Linear y Semi-log graph, Logarithmic x - Logarithmic y Log - Log graph Figure 7 Graph of y2x Linear-Linear This a 'conventional' i.e., linear scale plot. All the points on the x and y axes are equally spaced apart. Therefore, we get a straight line for .

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

Given a monomial equation , taking the logarithm of the equation with any base yields .. Setting and , which corresponds to using a log-log graph, yields the equation . where m k is the slope of the line and b log a is the intercept on the log y-axis, meaning where log x 0, so, reversing the logs, a is the y value corresponding to x 1.