Ln(x)+ln(2-x)=0

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Solution for Ln(x)+ln(2-x)=0 equation:


Simplifying
Ln(x) + ln(2 + -1x) = 0

Multiply nL * x
nxL + ln(2 + -1x) = 0
nxL + (2 * ln + -1x * ln) = 0
nxL + (2ln + -1lnx) = 0

Reorder the terms:
2ln + -1lnx + nxL = 0

Solving
2ln + -1lnx + nxL = 0

Solving for variable 'l'.

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

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

Combine like terms: nxL + -1nxL = 0
2ln + -1lnx + 0 = 0 + -1nxL
2ln + -1lnx = 0 + -1nxL
Remove the zero:
2ln + -1lnx = -1nxL

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + -1lx + xL) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(2l + -1lx + xL)' equal to zero and attempt to solve: Simplifying 2l + -1lx + xL = 0 Solving 2l + -1lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. 2l + -1lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 2l + -1lx + 0 = 0 + -1xL 2l + -1lx = 0 + -1xL Remove the zero: 2l + -1lx = -1xL 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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