Ln(x+2)+lnx=ln(x+2)

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


Simplifying
Ln(x + 2) + lnx = ln(x + 2)

Reorder the terms:
nL(2 + x) + lnx = ln(x + 2)
(2 * nL + x * nL) + lnx = ln(x + 2)
(2nL + nxL) + lnx = ln(x + 2)

Reorder the terms:
lnx + 2nL + nxL = ln(x + 2)

Reorder the terms:
lnx + 2nL + nxL = ln(2 + x)
lnx + 2nL + nxL = (2 * ln + x * ln)
lnx + 2nL + nxL = (2ln + lnx)

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

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

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

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

Solving
2nL + nxL = 2ln

Solving for variable 'n'.

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

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

Reorder the terms:
-2ln + 2nL + nxL = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-2ln + 2nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2l + 2L + 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 n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(-2l + 2L + xL)' equal to zero and attempt to solve: Simplifying -2l + 2L + xL = 0 Reorder the terms: 2L + -2l + xL = 0 Solving 2L + -2l + xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -2l + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + -2l + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -2l + xL = 0 + -2L -2l + xL = 0 + -2L Remove the zero: -2l + xL = -2L Add '2l' to each side of the equation. -2l + 2l + xL = -2L + 2l Combine like terms: -2l + 2l = 0 0 + xL = -2L + 2l xL = -2L + 2l Add '-1xL' to each side of the equation. xL + -1xL = -2L + 2l + -1xL Combine like terms: xL + -1xL = 0 0 = -2L + 2l + -1xL Simplifying 0 = -2L + 2l + -1xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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