lny=lnx+ln(x+1)+lnC

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Solution for lny=lnx+ln(x+1)+lnC equation:


Simplifying
lny = lnx + ln(x + 1) + lnC

Reorder the terms:
lny = lnx + ln(1 + x) + lnC
lny = lnx + (1 * ln + x * ln) + lnC
lny = lnx + (1ln + lnx) + lnC

Reorder the terms:
lny = 1ln + lnC + lnx + lnx

Combine like terms: lnx + lnx = 2lnx
lny = 1ln + lnC + 2lnx

Solving
lny = 1ln + lnC + 2lnx

Solving for variable 'l'.

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

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

Reorder the terms:
-1ln + lny = 1ln + -1ln + lnC + 2lnx

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + -1C + -2x + y) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 + -1C + -2x + y)' equal to zero and attempt to solve: Simplifying -1 + -1C + -2x + y = 0 Solving -1 + -1C + -2x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1C + -2x + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + -1C + -2x + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1C + -2x + y = 0 + 1 -1C + -2x + y = 0 + 1 Combine like terms: 0 + 1 = 1 -1C + -2x + y = 1 Add 'C' to each side of the equation. -1C + -2x + C + y = 1 + C Reorder the terms: -1C + C + -2x + y = 1 + C Combine like terms: -1C + C = 0 0 + -2x + y = 1 + C -2x + y = 1 + C Add '2x' to each side of the equation. -2x + 2x + y = 1 + C + 2x Combine like terms: -2x + 2x = 0 0 + y = 1 + C + 2x y = 1 + C + 2x Add '-1y' to each side of the equation. y + -1y = 1 + C + 2x + -1y Combine like terms: y + -1y = 0 0 = 1 + C + 2x + -1y Simplifying 0 = 1 + C + 2x + -1y 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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