Lny=ln(x+1)

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Solution for Lny=ln(x+1) equation: 


Simplifying
Lny = ln(x + 1)

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

Solving
nyL = 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 + nyL = 1ln + -1ln + lnx

Combine like terms: 1ln + -1ln = 0
-1ln + nyL = 0 + lnx
-1ln + nyL = lnx

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

Combine like terms: lnx + -1lnx = 0
-1ln + -1lnx + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + -1lx + yL) = 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 + yL)' equal to zero and attempt to solve:

Simplifying
-1l + -1lx + yL = 0

Solving
-1l + -1lx + yL = 0

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

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

Reorder the terms:
-1l + l + -1lx + yL = 0 + l

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

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

Combine like terms: -1lx + lx = 0
0 + yL = l + lx
yL = l + lx

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

Combine like terms: yL + -1yL = 0
0 = l + lx + -1yL

Simplifying
0 = l + lx + -1yL

The solution to this equation could not be determined.

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

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