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

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

Simplifying
Ln(1 + 3) = ln(x + 1)

Combine like terms: 1 + 3 = 4
nL(4) = ln(x + 1)

Reorder the terms for easier multiplication:
4nL = ln(x + 1)

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

Solving
4nL = 1ln + lnx

Solving for variable 'n'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + -1lx + 4L) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-1l + -1lx + 4L)' equal to zero and attempt to solve:

Simplifying
-1l + -1lx + 4L = 0

Reorder the terms:
4L + -1l + -1lx = 0

Solving
4L + -1l + -1lx = 0

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

Add '-4L' to each side of the equation.
4L + -1l + -4L + -1lx = 0 + -4L

Reorder the terms:
4L + -4L + -1l + -1lx = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -1l + -1lx = 0 + -4L
-1l + -1lx = 0 + -4L
Remove the zero:
-1l + -1lx = -4L

Add 'l' to each side of the equation.
-1l + l + -1lx = -4L + l

Combine like terms: -1l + l = 0
0 + -1lx = -4L + l
-1lx = -4L + l

Add 'lx' to each side of the equation.
-1lx + lx = -4L + l + lx

Combine like terms: -1lx + lx = 0
0 = -4L + l + lx

Simplifying
0 = -4L + l + lx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}