Respuesta :

[tex]2e^{3t}=10[/tex]

Divide both sides of the equation by 2:

[tex]e^{3t}=5[/tex]

Apply Ln to both sides:

[tex]Ln(e)^{3t}=\ln 5[/tex][tex]3t(\ln (e))=\ln 5[/tex][tex]3t=\ln 5[/tex]

divide both sides by 3

[tex]t=\frac{\ln 5}{3}[/tex]

t= 0.536