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Simplifying ln(y) = ln(4x) + ln(c) Multiply ln * y 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 + cln Reorder the terms: lny = cln + 4lnx Solving lny = cln + 4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1cln' to each side of the equation. -1cln + lny = cln + -1cln + 4lnx Combine like terms: cln + -1cln = 0 -1cln + lny = 0 + 4lnx -1cln + lny = 4lnx Add '-4lnx' to each side of the equation. -1cln + -4lnx + lny = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -1cln + -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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