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More Lessons for Algebra

Math Worksheets

In this lesson, we will look at the graphs of logarithmic functions.

**Graph of Logarithmic Functions**

In science classes we will often find ourselves graphing logarithmic functions to describe situations such as motion or speed over time. When trying to identify these situations as those seen in graphing logarithmic functions, it is important to be able to recognize these graphs. It is also important to recognize graphs of exponential functions and their importance as the logarithmic inverse.

Example:

Graph f(x) = log_{2}x

**Graphing Logarithmic Functions**

Example:

Graph g(x) = log_{3}x

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Algebra

Math Worksheets

In this lesson, we will look at the graphs of logarithmic functions.

** Example:**

Given f(x) = log *a* (*x*) , *a* > 0 and *a* ≠ 1.

a) Find the domain and range of the function f(x)

b) Find the vertical asymptote.

c) Find the *x* and *y* intercepts of the graph (if any)

**Solution:**

a) Since *x* > 0, the domain is (0, + ∞ ). The range is ( – ∞ , + ∞ )

b) The vertical asymptote is at *x* = 0

c) The *x*-intercept is (1, 0) and there is no *y*-intercept.

In science classes we will often find ourselves graphing logarithmic functions to describe situations such as motion or speed over time. When trying to identify these situations as those seen in graphing logarithmic functions, it is important to be able to recognize these graphs. It is also important to recognize graphs of exponential functions and their importance as the logarithmic inverse.

Example:

Graph f(x) = log

Example:

Graph g(x) = log

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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