ln(1-x)+ln(7-6)=ln(16)

Solution for ln(1-x)+ln(7-6)=ln(16) equation:

Simplifying
ln(1 + -1x) + ln(7 + -6) = ln(16)
(1 * ln + -1x * ln) + ln(7 + -6) = ln(16)
(1ln + -1lnx) + ln(7 + -6) = ln(16)

Combine like terms: 7 + -6 = 1
1ln + -1lnx + ln(1) = ln(16)

Reorder the terms for easier multiplication:
1ln + -1lnx + 1ln = ln(16)

Reorder the terms:
1ln + 1ln + -1lnx = ln(16)

Combine like terms: 1ln + 1ln = 2ln
2ln + -1lnx = ln(16)

Reorder the terms for easier multiplication:
2ln + -1lnx = 16ln

Solving
2ln + -1lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
2ln + -16ln + -1lnx = 16ln + -16ln

Combine like terms: 2ln + -16ln = -14ln
-14ln + -1lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-14ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(14 + x) = 0

Ignore the factor -1.
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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Add '-1x' to each side of the equation.
x + -1x = -14 + -1x

Combine like terms: x + -1x = 0
0 = -14 + -1x

Simplifying
0 = -14 + -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.