Answer
$ y=6.5 e^{-0.844x} $
Work Step by Step
Recall the log rules:
(a) $\log_b{\dfrac{p}{q}}=\log_b{p} - \log_b{q}$ (Quotient Rule).
(b) $\log{a}=\log_{10}{a}$
(c) $\log_a{a^x}=x $
(d) $ e^{\ln a}=a $
We are given $ y=6.5(0.43)^x $ ....(1)
We simplify equation (1) by using rule (d) with $ a=0.43$:
$ y= 6.5e^{\ln 0.43 x}=6.5 e^{-0.844x} $
