Respuesta :

Answer: (ln10)/6=t

Step-by-step explanation: e is an irrational number, like pi. Therefore the only variable to solve for is "t." Divide both sides by 4, then subtract (1/4) from both sides to get 10. Then take the natural log of both sides because you get rid of e on the left side, and you have the variable by itself. Natural log, or ln, represents loge base e, so dividing both sides by 6, we get t! I hope this helps!

Answer:

  • 0.52

Step-by-step explanation:

  • [tex]4(e^{6t} + 1/4) = 91[/tex]
  • [tex]e^{6t} + 1/4 = 91/4[/tex]
  • [tex]e^{6t} = 90/4 = 22.5[/tex]
  • [tex]ln e^{6t} = ln 22.5[/tex]
  • [tex]6t = 3.11\\[/tex]
  • [tex]t = 3.11/6[/tex]
  • [tex]t = 0.52[/tex]