## Functions Modeling Change: A Preparation for Calculus, 5th Edition

Using the fact that $(a^b)^n=a^{bn}$ and that $e^{\ln a}=a$ for all positive $a$, the equation can be rewritten as $$y=6(3^t)=6(e^{\ln 3})^t=6^{t\ln 3}$$ Thus, this statement is true.