Question

what is the range of \\(y = \log_{2}(x-6)\\)?

all real numbers not equal to 0
all real numbers less than 6
all real number greater than 6
all real numbers

Explanation:

Identify the function type

$$ y = \log_{2}(x-6) $$

Determine the range of a logarithmic function

$$ \text{Range} = (-\infty, \infty) $$

Match with the given options

$$ \text{Range} = \text{all real numbers} $$

Answer:

• all real numbers not equal to 0
• all real numbers less than 6
• all real number greater than 6
• all real numbers (Correct answer)