Question

Which of the following statements is true?

An exponential function is never the inverse of a logarithmic function.

The base of the logarithmic function f(x) = log5x is unknown.

The range of the logarithmic function f(x) = log5x is all real numbers.

The domain of the logarithmic function f(x) = log5x is all real numbers.

Answer 1

3rd one down

if you plot the graph of a logarithmic function, you'll see it extends alllllll the way down, and will (eventually, very slowly) go alllllll the way up

Answer 2

however, you can't input certain numbers into logarithmic functions (because it's the inverse of an exponential, and exponential numbers have limited range), so hence why it's not the 4th one