The equation requires you to get the value of t in the following;
[tex]2(e)^{3t}^{}\text{ =10}[/tex]Divide both sides by 2
[tex](e)^{3t\text{ }}=5[/tex]But e=2.71828
[tex]2.7183^{3t}\text{ = 5}[/tex]Introduce logariths on both sides as;
[tex]3t\text{ }\ln \text{ 2.7183 = }\ln \text{ 5}[/tex][tex]3t(1)=1.6094[/tex]t = 1.6094 /3
t= 0.5364
Answer
t= 0.5364
