Video Transcript
What are the base and exponent of
the function 𝑓 of 𝑥 equals five to the power of 𝑥 minus five?
Recall that an exponential function
in its simplest form is of the form 𝑓 of 𝑥 equals 𝑏 to the 𝑥, where 𝑏 is the
base and 𝑥 is the exponent. We know that the base 𝑏 is a real
number, such that 𝑏 is greater than zero and 𝑏 is not equal to one and the
exponent 𝑥 can be any real number. In the given function, we have a
base of five and this is raised to the power of 𝑥 minus five. This still fulfills the criteria of
an exponential function. So the base is five and the
exponent is 𝑥 minus five.