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

Solution for ln(x-8)+ln(1-x)=1 equation:

Simplifying
ln(x + -8) + ln(1 + -1x) = 1

Reorder the terms:
ln(-8 + x) + ln(1 + -1x) = 1
(-8 * ln + x * ln) + ln(1 + -1x) = 1
(-8ln + lnx) + ln(1 + -1x) = 1
-8ln + lnx + (1 * ln + -1x * ln) = 1
-8ln + lnx + (1ln + -1lnx) = 1

Reorder the terms:
-8ln + 1ln + lnx + -1lnx = 1

Combine like terms: -8ln + 1ln = -7ln
-7ln + lnx + -1lnx = 1

Combine like terms: lnx + -1lnx = 0
-7ln + 0 = 1
-7ln = 1

Solving
-7ln = 1

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Divide each side by '-7n'.
l = -0.1428571429n-1

Simplifying
l = -0.1428571429n-1