a typical exponential function is y=a[tex] b^{x} [/tex]
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a[tex] b^{3.5} [/tex]
3936.6=a[tex] b^{6} [/tex]
divide the second equation by the first to eliminate a:
243=[tex] b^{(6-3.5)} [/tex]
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a[tex]* (3.6)^{3.5} [/tex]
a=0.183
please double check my calculation
