If y = f(x) is an exponential function with f(0) = 60 and f(5) = 149, solve the equation f(t) = 500.

The equation will be in the form of y=a*t^x we know that anything to the 0th power is 1 so a=60 when we plug in 5 for x we get

149=60*t^5 so t=(149/60)5th root

500=60*[(149/60)5th root]^x

25/3=

x=log base (149/60)5th root of 25/3