Answer
t = 2.267
Explanation
The questio to be solved is
e³ᵗ = 900
[tex]e^{3t}=900[/tex]
To solve this, we take the natural logarithms of both sides
In e³ᵗ = In 900
3t (In e) = In 900
Note that In e = 1 and In 900 = 6.8024
3t (1) = 6.8024
3t = 6.8024
Divide both sides by 3
(3t/3) = (6.8024/3)
t = 2.267 to 3 decimal places.
Hope this Helps!!!
