carolina02quintana
carolina02quintana carolina02quintana
  • 17-04-2020
  • Mathematics
contestada

2e^x=4
Can someone help me, To find de decimal of this.

Respuesta :

jimrgrant1 jimrgrant1
  • 17-04-2020

Answer:

x ≈ 0.693

Step-by-step explanation:

Using the rule of logarithms

log[tex]x^{n}[/tex] ⇔ n log x and lne = 1

Given

2[tex]e^{x}[/tex] = 4 ( divide both sides by 2 )

[tex]e^{x}[/tex] = 2 ( take the ln of both sides )

ln[tex]e^{x}[/tex] = ln2, that is

x lne = ln2, thus

x = ln2 ≈ 0.693 ( to 3 dec. places )

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