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Simplifying Ln(12) + -1ln(x) = ln(3) Reorder the terms for easier multiplication: 12nL + -1ln(x) = ln(3) Multiply ln * x 12nL + -1lnx = ln(3) Reorder the terms: -1lnx + 12nL = ln(3) Reorder the terms for easier multiplication: -1lnx + 12nL = 3ln Solving -1lnx + 12nL = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. -1lnx + -3ln + 12nL = 3ln + -3ln Reorder the terms: -3ln + -1lnx + 12nL = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -3ln + -1lnx + 12nL = 0 Add '-12nL' to each side of the equation. -3ln + -1lnx + 12nL + -12nL = 0 + -12nL Combine like terms: 12nL + -12nL = 0 -3ln + -1lnx + 0 = 0 + -12nL -3ln + -1lnx = 0 + -12nL Remove the zero: -3ln + -1lnx = -12nL Combine like terms: -12nL + 12nL = 0 -3ln + -1lnx + 12nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3l + -1lx + 12L) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-3l + -1lx + 12L)' equal to zero and attempt to solve: Simplifying -3l + -1lx + 12L = 0 Reorder the terms: 12L + -3l + -1lx = 0 Solving 12L + -3l + -1lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-12L' to each side of the equation. 12L + -3l + -12L + -1lx = 0 + -12L Reorder the terms: 12L + -12L + -3l + -1lx = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -3l + -1lx = 0 + -12L -3l + -1lx = 0 + -12L Remove the zero: -3l + -1lx = -12L 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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