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

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