Find the exponential function f(x)=ax whose graph goes through the point (3,125). a= .?

1 Answer

• In an exponential function, the variable “x” is your exponent. What you are actually asking, then, is this:

  f(x) = a^x

  You can substitute your given values now. f(x) is the same thing as your y-value and the x is your x-value.

  Now you have this:

  125 = a^3

  Ok…. What number, raised to the third power, equals 125? Your answer is 5.

  125 = 5^3.

  So your a = 5.