jaelencapers jaelencapers
  • 23-06-2020
  • Mathematics
contestada

Solve Inx = 2 + In(x-4). Give the exact answer then use a calculator to find an approximate
answer.

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MathPhys
MathPhys MathPhys
  • 23-06-2020

Answer:

x = 4e² / (e² − 1)

x ≈ 4.626

Step-by-step explanation:

ln x = 2 + ln(x − 4)

e^(ln x) = e^(2 + ln(x − 4))

x = e^(2 + ln(x − 4))

x = e² e^(ln(x − 4))

x = e² (x − 4)

x = e² x − 4e²

4e² = e² x − x

4e² = x (e² − 1)

x = 4e² / (e² − 1)

x ≈ 4.626

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