aleenabrazelton9728 aleenabrazelton9728
  • 22-10-2019
  • Mathematics
contestada

94. Solve each equation. Express your answer as a logarithm, and then approximate the solution to the nearest thousandth.
d. 300 e 0.4t = 900

Respuesta :

danielafalvarenga danielafalvarenga
  • 22-10-2019

Answer: t = ln 3/0.4 (answer as a logarithm)

t =  2.747 (answer to the nearest thousandth)

Step-by-step explanation:

300 [tex]e^{0.4t}[/tex]= 900

[tex]e^{0.4t}[/tex]= 900/300

[tex]e^{0.4t}[/tex]= 3

ln ([tex]e^{0.4t}[/tex]) = ln 3

0.4t * ln e = ln 3

0.4t = ln 3

t = ln 3/0.4 (answer as a logarithm)

t =  2.747 (answer to the nearest thousandth)

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