Question

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

Options

• All nonnegative real numbers

• Strictly positive real numbers \[\mathbb{R}^+\]

• All real numbers \[\mathbb{R}\]

• All negative real numbers

Answer 1

The logarithmic function \[\log_b x\] is defined only for positive \[x\]. Its domain is therefore the strictly positive real numbers \[\mathbb{R}^+\].