addyhoweee addyhoweee
  • 24-05-2021
  • Mathematics
contestada

Solve this equation for x. Round your answer to
the nearest hundredth.
3 = In(x + 9)

Solve this equation for x Round your answer to the nearest hundredth 3 Inx 9 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-05-2021

Answer:

x ≈ 11.09

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 9) = 3 , that is

[tex]log_{e}[/tex] (x + 9) = 3 , then

x + 9 = e³ ( subtract 9 from both sides )

x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )

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