loge(2-x)-loge(1+x)=0

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Solution for loge(2-x)-loge(1+x)=0 equation:


Simplifying
loge(2 + -1x) + -1loge(1 + x) = 0
(2 * eglo + -1x * eglo) + -1loge(1 + x) = 0
(2eglo + -1eglox) + -1loge(1 + x) = 0
2eglo + -1eglox + (1 * -1eglo + x * -1eglo) = 0
2eglo + -1eglox + (-1eglo + -1eglox) = 0

Reorder the terms:
2eglo + -1eglo + -1eglox + -1eglox = 0

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

Combine like terms: -1eglox + -1eglox = -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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