ln(7)+ln(x-1)=0

Solution for ln(7)+ln(x-1)=0 equation:

Simplifying
ln(7) + ln(x + -1) = 0

Reorder the terms for easier multiplication:
7ln + ln(x + -1) = 0

Reorder the terms:
7ln + ln(-1 + x) = 0
7ln + (-1 * ln + x * ln) = 0
7ln + (-1ln + lnx) = 0

Combine like terms: 7ln + -1ln = 6ln
6ln + lnx = 0

Solving
6ln + lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(6 + x) = 0

Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Add '-1x' to each side of the equation.
x + -1x = -6 + -1x

Combine like terms: x + -1x = 0
0 = -6 + -1x

Simplifying
0 = -6 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.