In (x-7) = ln8-ln (x) Solve for "x"

x = 8.

Step-by-step explanation:

ln (x - 7) = ln8 - lnx Using the laws of logarithms:

ln (x - 7) = ln (8/x)

x - 7 = 8/x

x^2 - 7x = 8

x^2 - 7x - 8 = 0

(x - 8) (x + 1) = 0

x = - 1, 8.

x must be 8 as there is no real value of the log of a negative.