Domain, Asymptote, and Intercept of a Logarithm
In this lesson, you will learn how to determine the domain, vertical asymptote, and x-intercept of a logarithm. It is important to know the general form of the graph, which will always cross at 1,0, and the domain will be 0 to infinity. The vertical asymptote is x equals 0. The base of the logarithm does not affect these aspects of the graph. To find the x-intercept, you need to set f(x) or y equal to 0 and solve for x using logarithmic arithmetic conversion to exponential form.
Determining the domain, vertical asymptote, and x intercept of a logarithm
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- Identify the domain, asymptote and intercept of f(x)= log(base 3) x
