Respuesta :

Answer:

t= 15.63997

Step-by-step explanation:

200=5(1.2660)^t

we are trying to get t by itself so, divide by 5 on both sides.

40=(1.2660)^t

This is in exponential form (x=b^y) we can now turn it into logorithmic form(y=logb(x)) to solve for t

x=40 and b= 1.2660 and t=y

t= [tex]log_{1.2660}[/tex] (40)

We put this into a calculator to solve and get

t= 15.63997