Question

What is the relationship between exponential functions and logarithmic functions?
Select an answer

A.
They are both linear functions.


B.
They can never intersect.


C.
They are inverses of each other.


D.
They are the same type of function.

Answer 1

C. They are inverses of each other.

Explanation: For base b>0, b≠1, the functions y = b^x and y = log_b(x) undo each other: b^{log_b(x)} = x and log_b(b^x) = x. Their graphs are reflections across the line y = x, and their domains and ranges are swapped.