loge(x+1)+loge(x)=0

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Solution for loge(x+1)+loge(x)=0 equation: 


Simplifying
loge(x + 1) + loge(x) = 0

Reorder the terms:
eglo(1 + x) + loge(x) = 0
(1 * eglo + x * eglo) + loge(x) = 0
(1eglo + eglox) + loge(x) = 0

Multiply eglo * x
1eglo + eglox + eglox = 0

Combine like terms: eglox + eglox = 2eglox
1eglo + 2eglox = 0

Solving
1eglo + 2eglox = 0

Solving for variable 'e'.

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

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


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

Simplifying
eglo = 0

Solving
eglo = 0

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

Simplifying
eglo = 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 e 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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