Ln(3-x)+ln(x+1)=0

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Solution for Ln(3-x)+ln(x+1)=0 equation: 


Simplifying
Ln(3 + -1x) + ln(x + 1) = 0
(3 * nL + -1x * nL) + ln(x + 1) = 0
(3nL + -1nxL) + ln(x + 1) = 0

Reorder the terms:
3nL + -1nxL + ln(1 + x) = 0
3nL + -1nxL + (1 * ln + x * ln) = 0
3nL + -1nxL + (1ln + lnx) = 0

Reorder the terms:
1ln + lnx + 3nL + -1nxL = 0

Solving
1ln + lnx + 3nL + -1nxL = 0

Solving for variable 'l'.

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

Add '-3nL' to each side of the equation.
1ln + lnx + 3nL + -3nL + -1nxL = 0 + -3nL

Combine like terms: 3nL + -3nL = 0
1ln + lnx + 0 + -1nxL = 0 + -3nL
1ln + lnx + -1nxL = 0 + -3nL
Remove the zero:
1ln + lnx + -1nxL = -3nL

Add 'nxL' to each side of the equation.
1ln + lnx + -1nxL + nxL = -3nL + nxL

Combine like terms: -1nxL + nxL = 0
1ln + lnx + 0 = -3nL + nxL
1ln + lnx = -3nL + nxL

Reorder the terms:
1ln + lnx + 3nL + -1nxL = -3nL + 3nL + nxL + -1nxL

Combine like terms: -3nL + 3nL = 0
1ln + lnx + 3nL + -1nxL = 0 + nxL + -1nxL
1ln + lnx + 3nL + -1nxL = nxL + -1nxL

Combine like terms: nxL + -1nxL = 0
1ln + lnx + 3nL + -1nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(l + lx + 3L + -1xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(l + lx + 3L + -1xL)' equal to zero and attempt to solve:

Simplifying
l + lx + 3L + -1xL = 0

Reorder the terms:
3L + l + lx + -1xL = 0

Solving
3L + l + lx + -1xL = 0

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

Add '-3L' to each side of the equation.
3L + l + lx + -3L + -1xL = 0 + -3L

Reorder the terms:
3L + -3L + l + lx + -1xL = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + l + lx + -1xL = 0 + -3L
l + lx + -1xL = 0 + -3L
Remove the zero:
l + lx + -1xL = -3L

Add 'xL' to each side of the equation.
l + lx + -1xL + xL = -3L + xL

Combine like terms: -1xL + xL = 0
l + lx + 0 = -3L + xL
l + lx = -3L + xL

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.

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