Question

The graph of \[y=\log_b x\] is a mirror image of which graph reflected perfectly across \[y=x\]?

Options

• \[y=\frac{1}{x}\]

• \[y=b^x\]

• \[y=\sin x\]

• \[y=x^n\]

Answer 1

The logarithmic and exponential functions with the same base are inverse functions. Their graphs are reflections of one another across the line \[y=x\].