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Simplifying lny = ln(4x) + ln(C) Remove parenthesis around (4x) lny = ln * 4x + ln(C) Reorder the terms for easier multiplication: lny = 4ln * x + ln(C) Multiply ln * x lny = 4lnx + ln(C) Multiply ln * C lny = 4lnx + lnC Reorder the terms: lny = lnC + 4lnx Solving lny = lnC + 4lnx 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. -1lnC + lny = lnC + -1lnC + 4lnx Combine like terms: lnC + -1lnC = 0 -1lnC + lny = 0 + 4lnx -1lnC + lny = 4lnx Add '-4lnx' to each side of the equation. -1lnC + -4lnx + lny = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -1lnC + -4lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1C + -4x + 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 '(-1C + -4x + y)' equal to zero and attempt to solve: Simplifying -1C + -4x + y = 0 Solving -1C + -4x + y = 0 Move all terms containing l to the left, all other terms to the right. Add 'C' to each side of the equation. -1C + -4x + C + y = 0 + C Reorder the terms: -1C + C + -4x + y = 0 + C Combine like terms: -1C + C = 0 0 + -4x + y = 0 + C -4x + y = 0 + C Remove the zero: -4x + y = C Add '4x' to each side of the equation. -4x + 4x + y = C + 4x Combine like terms: -4x + 4x = 0 0 + y = C + 4x y = C + 4x Add '-1y' to each side of the equation. y + -1y = C + 4x + -1y Combine like terms: y + -1y = 0 0 = C + 4x + -1y Simplifying 0 = C + 4x + -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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