SAT Math Practice Question #14527 - SATify | SATify

#14527

functions

exponential

pattern

hard

70 sec

For the exponential function $f$ , the table above shows several values of $x$ and their corresponding values of $f (x)$ , where $a$ is a constant greater than 1. If $k$ is a constant and $f (k) = a^{17}$ , what is the value of $k$ ?

x	f(x)
1	a^2
2	a^5
3	a^8

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.