appohfrederick75
appohfrederick75 appohfrederick75
  • 29-04-2021
  • Mathematics
contestada

slo
[tex] {e}^{4 - 7x} + 11 = 20[/tex]
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Respuesta :

goddessboi goddessboi
  • 29-04-2021

Answer:

x is about 0.26

Step-by-step explanation:

[tex]e^{4-7x}+11=20[/tex]

[tex]e^{4-7x}=9[/tex]

[tex]ln(e^{4-7x})=ln(9)[/tex]

[tex]4-7x=ln(9)[/tex]

[tex]-7x=ln(9)-4[/tex]

[tex]x=\frac{ln(9)}{-7} +\frac{4}{7}[/tex]

[tex]x=\frac{4-ln(9)}{7}[/tex]

[tex]x=0.2575393461[/tex]

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