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The domain and range of the graph of a logarithmic function are;
- Domain; 0 < x < +∞
- Range; The set of real numbers.
The basic equation of a logarithmic function can be presented in the form;
Where;
b > 0, and b ≠ 1, given that we have;
The inverse of the logarithmic function is the exponential function presented as follows;
Given that <em>b</em> > 0, we have;
Therefore, the graph of a logarithmic function has only positive x-values
The graph of a logarithmic function is one with a domain and range defined as follows;
Domain; 0 < x < +∞
Range; -∞ < y < +∞, which is the set of real numbers.
The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.
Learn more about finding the graphs of logarithmic functions here:
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Answer: x=3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Multiply both sides of the equation by 3:
- Now you must make the equation equal to zero as following:
- Factor it, as you can see below. Therefore, you obtain the following result: