5
practice testMultiple Choice

Practice Test

Question 5 • Mathematics III

What is the range of y is equal to log sub 2 of open paren x minus 6 close paren ?

Answer
A
all real numbers less than 6
B
all real numbers
C
all real number greater than 6
D
all real numbers not equal to 0

Explanation

The logarithm’s input, x − 6, must be positive, so the domain is x > 6. As x takes values greater than 6, x − 6 can be any positive number, and log base 2 of positive numbers can produce every real value. Therefore, the range is all real numbers.

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