Question

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

answer.

Answer 1

x = 4e² / (e² − 1)

x ≈ 4.626

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