zrose203 zrose203
  • 02-07-2019
  • Mathematics
contestada

Solve this equation for x. Round your answer to
the nearest hundredth.
7 = In(x + 5)
​

Respuesta :

jimrgrant1 jimrgrant1
  • 02-07-2019

Answer:

x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

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

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 = [tex]e^{7}[/tex] ( subtract 5 from both sides )

x = [tex]e^{7}[/tex] - 5 ≈ 1091.63 ( nearest hundredth )

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