vicstar3001 vicstar3001
  • 16-03-2019
  • Mathematics
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what is the solution to the equation? round your answer to two decimal places. 6•e^x=25​

what is the solution to the equation round your answer to two decimal places 6ex25 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-03-2019

Answer:

A

Step-by-step explanation:

Given

6[tex]e^{x}[/tex] = 25 ( divide both sides by 6 )

[tex]e^{x}[/tex] = [tex]\frac{25}{6}[/tex]

Take the ln of both sides

ln[tex]e^{x}[/tex] = ln ([tex]\frac{25}{6}[/tex]) , hence

x lne = ln ([tex]\frac{25}{6}[/tex]) ← note ln e = 1

x = ln ([tex]\frac{25}{6}[/tex]) ≈ 1.43 → A

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