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Simplifying ln(x + -4) + -1ln(18) = ln(12) Reorder the terms: ln(-4 + x) + -1ln(18) = ln(12) (-4 * ln + x * ln) + -1ln(18) = ln(12) (-4ln + lnx) + -1ln(18) = ln(12) Reorder the terms for easier multiplication: -4ln + lnx + -1 * 18ln = ln(12) Multiply -1 * 18 -4ln + lnx + -18ln = ln(12) Reorder the terms: -4ln + -18ln + lnx = ln(12) Combine like terms: -4ln + -18ln = -22ln -22ln + lnx = ln(12) Reorder the terms for easier multiplication: -22ln + lnx = 12ln Solving -22ln + lnx = 12ln 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. -22ln + -12ln + lnx = 12ln + -12ln Combine like terms: -22ln + -12ln = -34ln -34ln + lnx = 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -34ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-34 + x) = 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 '(-34 + x)' equal to zero and attempt to solve: Simplifying -34 + x = 0 Solving -34 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + x = 0 + 34 x = 0 + 34 Combine like terms: 0 + 34 = 34 x = 34 Add '-1x' to each side of the equation. x + -1x = 34 + -1x Combine like terms: x + -1x = 0 0 = 34 + -1x Simplifying 0 = 34 + -1x 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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