1. why are exponential and logarithmic functions called inverses?

a. from an exponential function, you can get a logarithmic function by interchanging x and y, then solving for y.

b. from a logarithmic function, you can get an exponential function by interchanging x and y, then solving for y.

c. the graphs of an exponential function and the corresponding logarithmic function are symmetric with respect to the line y=x

2. why can't the base of exponential and logarithmic functions be equal to 1?

3. why can't the base of exponential and logarithmic functions be nonnegative?