Question

What is the range of the logarithmic function \[y=\log_b x\]?

Options

• All real numbers \[\mathbb{R}\]

• All positive real numbers

• All nonnegative real numbers

• Only integers

Answer 1

A logarithmic function can produce any real exponent value. Therefore, the range of \[y=\log_b x\] is all real numbers \[\mathbb{R}\].