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Simplifying ln(y) + c = ln(1 + x) + c Multiply ln * y lny + c = ln(1 + x) + c Reorder the terms: c + lny = ln(1 + x) + c c + lny = (1 * ln + x * ln) + c c + lny = (1ln + lnx) + c Reorder the terms: c + lny = c + 1ln + lnx Add '-1c' to each side of the equation. c + -1c + lny = c + 1ln + -1c + lnx Combine like terms: c + -1c = 0 0 + lny = c + 1ln + -1c + lnx lny = c + 1ln + -1c + lnx Reorder the terms: lny = c + -1c + 1ln + lnx Combine like terms: c + -1c = 0 lny = 0 + 1ln + lnx lny = 1ln + lnx Solving lny = 1ln + lnx 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 + -1ln + lnx Combine like terms: 1ln + -1ln = 0 -1ln + lny = 0 + lnx -1ln + lny = lnx Add '-1lnx' to each side of the equation. -1ln + -1lnx + lny = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln + -1lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + -1x + y) = 0Subproblem 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 + -1x + y)' equal to zero and attempt to solve: Simplifying -1 + -1x + y = 0 Solving -1 + -1x + 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 + -1x + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + -1x + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + y = 0 + 1 -1x + y = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + y = 1 Add 'x' to each side of the equation. -1x + x + y = 1 + x Combine like terms: -1x + x = 0 0 + y = 1 + x y = 1 + x Add '-1y' to each side of the equation. y + -1y = 1 + x + -1y Combine like terms: y + -1y = 0 0 = 1 + x + -1y Simplifying 0 = 1 + x + -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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