lny-ln(y+1)=lnx

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Solution for lny-ln(y+1)=lnx equation: 


Simplifying
lny + -1ln(y + 1) = lnx

Reorder the terms:
lny + -1ln(1 + y) = lnx
lny + (1 * -1ln + y * -1ln) = lnx
lny + (-1ln + -1lny) = lnx

Reorder the terms:
-1ln + lny + -1lny = lnx

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

Solving
-1ln = lnx

Solving for variable 'l'.

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

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

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

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

Ignore the factor -1.

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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1x

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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