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Simplifying lny = ln((lnX) * c) Multiply lnX * c lny = ln(clnX) Multiply ln * clnX lny = cl2n2X Solving lny = cl2n2X Solving for variable 'l'. Reorder the terms: -1cl2n2X + lny = cl2n2X + -1cl2n2X Combine like terms: cl2n2X + -1cl2n2X = 0 -1cl2n2X + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1clnX + 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 '(-1clnX + y)' equal to zero and attempt to solve: Simplifying -1clnX + y = 0 Solving -1clnX + y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1y' to each side of the equation. -1clnX + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1clnX + 0 = 0 + -1y -1clnX = 0 + -1y Remove the zero: -1clnX = -1y Divide each side by '-1cnX'. l = c-1n-1yX-1 Simplifying l = c-1n-1yX-1Solution
l = {c-1n-1yX-1}
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