Ln(x+1)+ln(x+2)=ln(4)

Solution for Ln(x+1)+ln(x+2)=ln(4) equation:

Simplifying
Ln(x + 1) + ln(x + 2) = ln(4)

Reorder the terms:
nL(1 + x) + ln(x + 2) = ln(4)
(1 * nL + x * nL) + ln(x + 2) = ln(4)
(1nL + nxL) + ln(x + 2) = ln(4)

Reorder the terms:
1nL + nxL + ln(2 + x) = ln(4)
1nL + nxL + (2 * ln + x * ln) = ln(4)
1nL + nxL + (2ln + lnx) = ln(4)

Reorder the terms:
2ln + lnx + 1nL + nxL = ln(4)

Reorder the terms for easier multiplication:
2ln + lnx + 1nL + nxL = 4ln

Solving
2ln + lnx + 1nL + nxL = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
2ln + lnx + 1nL + -4ln + nxL = 4ln + -4ln

Reorder the terms:
2ln + -4ln + lnx + 1nL + nxL = 4ln + -4ln

Combine like terms: 2ln + -4ln = -2ln
-2ln + lnx + 1nL + nxL = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-2ln + lnx + 1nL + nxL = 0

Add '-1nL' to each side of the equation.
-2ln + lnx + 1nL + -1nL + nxL = 0 + -1nL

Combine like terms: 1nL + -1nL = 0
-2ln + lnx + 0 + nxL = 0 + -1nL
-2ln + lnx + nxL = 0 + -1nL
Remove the zero:
-2ln + lnx + nxL = -1nL

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

Combine like terms: nxL + -1nxL = 0
-2ln + lnx + 0 = -1nL + -1nxL
-2ln + lnx = -1nL + -1nxL

Reorder the terms:
-2ln + lnx + nL + nxL = -1nL + nL + -1nxL + nxL

Combine like terms: -1nL + nL = 0
-2ln + lnx + nL + nxL = 0 + -1nxL + nxL
-2ln + lnx + nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-2ln + lnx + nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2l + lx + L + xL) = 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 '(-2l + lx + L + xL)' equal to zero and attempt to solve:

Simplifying
-2l + lx + L + xL = 0

Reorder the terms:
L + -2l + lx + xL = 0

Solving
L + -2l + lx + xL = 0

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

Add '-1L' to each side of the equation.
L + -2l + lx + -1L + xL = 0 + -1L

Reorder the terms:
L + -1L + -2l + lx + xL = 0 + -1L

Combine like terms: L + -1L = 0
0 + -2l + lx + xL = 0 + -1L
-2l + lx + xL = 0 + -1L
Remove the zero:
-2l + lx + xL = -1L

Add '-1xL' to each side of the equation.
-2l + lx + xL + -1xL = -1L + -1xL

Combine like terms: xL + -1xL = 0
-2l + lx + 0 = -1L + -1xL
-2l + lx = -1L + -1xL

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.