SOLUTION: If f is an exponential function of the form f(x)= C * a^x with growth factor 3 and f(5)=13. What is f(6)? f(6)=________?(Simplify)

Algebra ->  Functions -> SOLUTION: If f is an exponential function of the form f(x)= C * a^x with growth factor 3 and f(5)=13. What is f(6)? f(6)=________?(Simplify)       Log On


   

Question 1150039: If f is an exponential function of the form f(x)= C * a^x with growth factor 3 and f(5)=13. What is f(6)?
f(6)=________?(Simplify)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
f%28x%29=+C+%2A+a%5Ex
if so, thean factor 3 => a=3
and if f%285%29=13 we have
13=+C+%2A+3%5E5
C=13%2F3%5E5

then
+f%28x%29=+%2813%2F3%5E5%29+%2A+3%5Ex
and
f%286%29=%2813%2F3%5E5%29+%2A+3%5E6.....simplify
f%286%29=%2813%2Fcross%283%5E5%29%29+%2A+3%5Ecross%286%29
f%286%29=13%2A3
f%286%29=39