Math Problem Statement
Identify the domain and range of y = log 6(x). Question 23 Answer a.
(0, ∞), (-∞, ∞) b.
(-∞, ∞), (0, ∞) c.
(0, ∞), (0, ∞) d.
(-∞, ∞), (-∞, ∞)
Solution
For the function :
- Domain: Since the logarithmic function is only defined for positive values of , the domain is .
- Range: The range of a logarithmic function, such as , is all real numbers, , because the output of a logarithmic function can be any real number.
Thus, the correct answer is:
a.
Would you like more details on logarithmic domains and ranges?
Here are 5 related questions:
- What is the domain and range of ?
- How do you find the domain of a function involving a logarithm?
- What changes in the domain and range if we use ?
- How does the base of the logarithm affect the domain and range?
- What are the transformations that affect the domain of logarithmic functions?
Tip: Remember, for to be defined, must be positive.
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Math Problem Analysis
Mathematical Concepts
Logarithmic Functions
Domain and Range
Formulas
y = log_b(x)
Theorems
Domain and Range of Logarithmic Functions
Suitable Grade Level
Grades 9-11