Question

NEED HELP
find the Exponential equation of the form f(x)=c*a^x that goes thru the points (2,12) and (5,32)

Answer 1

it looks like
\[f(x)=c\times a^x\] you need \(c\) and \(a\)

Answer 2

you know that
\[f(2)=c\times a^2=12\] and
\[f(5)=c\times a^5=32\] lets see if we can find \(a\) first

Answer 3

if you diivide you get
\[\frac{c\times a^5}{c\times a^2}=\frac{32}{12}\]or
\[a^3=\frac{8}{3}\]

Answer 4

that makes
\[a=\frac{2}{\sqrt[3]{3}}\]