Answer
$$y=e^{5-t}$$
Work Step by Step
To solve natural logarithm equations, keep in mind this property:
- If $\ln x = \ln a$ then $x=a$
$$\ln y=-t+5$$
- Recall the property: $\ln e^x=x$
That means $-t+5=\ln e^{(-t+5)}=\ln e^{5-t}$
Therefore, $$\ln y = \ln e^{5-t}$$
$$y=e^{5-t}$$