Ln(X+1)-ln(x^2)=ln(C)

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Solution for Ln(X+1)-ln(x^2)=ln(C) equation:


Simplifying
Ln(X + 1) + -1ln(x2) = ln(C)

Reorder the terms:
nL(1 + X) + -1ln(x2) = ln(C)
(1 * nL + X * nL) + -1ln(x2) = ln(C)
(1nL + nLX) + -1ln(x2) = ln(C)

Multiply ln * x2
1nL + nLX + -1lnx2 = ln(C)

Reorder the terms:
-1lnx2 + 1nL + nLX = ln(C)

Multiply ln * C
-1lnx2 + 1nL + nLX = lnC

Solving
-1lnx2 + 1nL + nLX = lnC

Solving for variable 'l'.

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

Add '-1lnC' to each side of the equation.
-1lnx2 + 1nL + -1lnC + nLX = lnC + -1lnC

Reorder the terms:
-1lnC + -1lnx2 + 1nL + nLX = lnC + -1lnC

Combine like terms: lnC + -1lnC = 0
-1lnC + -1lnx2 + 1nL + nLX = 0

Add '-1nL' to each side of the equation.
-1lnC + -1lnx2 + 1nL + -1nL + nLX = 0 + -1nL

Combine like terms: 1nL + -1nL = 0
-1lnC + -1lnx2 + 0 + nLX = 0 + -1nL
-1lnC + -1lnx2 + nLX = 0 + -1nL
Remove the zero:
-1lnC + -1lnx2 + nLX = -1nL

Add '-1nLX' to each side of the equation.
-1lnC + -1lnx2 + nLX + -1nLX = -1nL + -1nLX

Combine like terms: nLX + -1nLX = 0
-1lnC + -1lnx2 + 0 = -1nL + -1nLX
-1lnC + -1lnx2 = -1nL + -1nLX

Reorder the terms:
-1lnC + -1lnx2 + nL + nLX = -1nL + nL + -1nLX + nLX

Combine like terms: -1nL + nL = 0
-1lnC + -1lnx2 + nL + nLX = 0 + -1nLX + nLX
-1lnC + -1lnx2 + nL + nLX = -1nLX + nLX

Combine like terms: -1nLX + nLX = 0
-1lnC + -1lnx2 + nL + nLX = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lC + -1lx2 + L + LX) = 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 '(-1lC + -1lx2 + L + LX)' equal to zero and attempt to solve: Simplifying -1lC + -1lx2 + L + LX = 0 Reorder the terms: L + LX + -1lC + -1lx2 = 0 Solving L + LX + -1lC + -1lx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1L' to each side of the equation. L + LX + -1lC + -1L + -1lx2 = 0 + -1L Reorder the terms: L + -1L + LX + -1lC + -1lx2 = 0 + -1L Combine like terms: L + -1L = 0 0 + LX + -1lC + -1lx2 = 0 + -1L LX + -1lC + -1lx2 = 0 + -1L Remove the zero: LX + -1lC + -1lx2 = -1L Add '-1LX' to each side of the equation. LX + -1lC + -1LX + -1lx2 = -1L + -1LX Reorder the terms: LX + -1LX + -1lC + -1lx2 = -1L + -1LX Combine like terms: LX + -1LX = 0 0 + -1lC + -1lx2 = -1L + -1LX -1lC + -1lx2 = -1L + -1LX 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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