0=-ln(x+1)-lnx

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


Simplifying
0 = -1ln(x + 1) + -1lnx

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

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

Solving
0 = -1ln + -2lnx

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
0 + ln = -1ln + ln + -2lnx
Remove the zero:
ln = -1ln + ln + -2lnx

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

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

Combine like terms: -2lnx + 2lnx = 0
ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(1 + 2x) = 0


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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Add '-2x' to each side of the equation.
2x + -2x = -1 + -2x

Combine like terms: 2x + -2x = 0
0 = -1 + -2x

Simplifying
0 = -1 + -2x

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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