1=ln(-x)+ln(x+7)

Solution for 1=ln(-x)+ln(x+7) equation:

Simplifying
1 = ln(-1x) + ln(x + 7)

Remove parenthesis around (-1x)
1 = ln * -1x + ln(x + 7)

Reorder the terms for easier multiplication:
1 = -1ln * x + ln(x + 7)

Multiply ln * x
1 = -1lnx + ln(x + 7)

Reorder the terms:
1 = -1lnx + ln(7 + x)
1 = -1lnx + (7 * ln + x * ln)
1 = -1lnx + (7ln + lnx)

Reorder the terms:
1 = 7ln + -1lnx + lnx

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

Solving
1 = 7ln

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
1 + -7ln = 7ln + -7ln

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

Add '-1' to each side of the equation.
1 + -1 + -7ln = 0 + -1

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

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

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

Simplifying
l = 0.1428571429n-1