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Simplifying 2ln(9) = 4ln(x + -3) Reorder the terms for easier multiplication: 2 * 9ln = 4ln(x + -3) Multiply 2 * 9 18ln = 4ln(x + -3) Reorder the terms: 18ln = 4ln(-3 + x) 18ln = (-3 * 4ln + x * 4ln) 18ln = (-12ln + 4lnx) Solving 18ln = -12ln + 4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12ln' to each side of the equation. 18ln + 12ln = -12ln + 12ln + 4lnx Combine like terms: 18ln + 12ln = 30ln 30ln = -12ln + 12ln + 4lnx Combine like terms: -12ln + 12ln = 0 30ln = 0 + 4lnx 30ln = 4lnx Add '-4lnx' to each side of the equation. 30ln + -4lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 30ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(15 + -2x) = 0 Ignore the factor 2.Subproblem 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 '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Add '2x' to each side of the equation. -2x + 2x = -15 + 2x Combine like terms: -2x + 2x = 0 0 = -15 + 2x Simplifying 0 = -15 + 2x 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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