k00502960 k00502960
  • 04-05-2022
  • Mathematics
contestada

Use natural logarithms to solve the equation. Round to the nearest thousandth.

7e2x + 10 = 29

Respuesta :

andytran027
andytran027 andytran027
  • 04-05-2022

Answer:

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

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