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Simplifying ln(x + -2) + -1ln(18) = ln(5) Reorder the terms: ln(-2 + x) + -1ln(18) = ln(5) (-2 * ln + x * ln) + -1ln(18) = ln(5) (-2ln + lnx) + -1ln(18) = ln(5) Reorder the terms for easier multiplication: -2ln + lnx + -1 * 18ln = ln(5) Multiply -1 * 18 -2ln + lnx + -18ln = ln(5) Reorder the terms: -2ln + -18ln + lnx = ln(5) Combine like terms: -2ln + -18ln = -20ln -20ln + lnx = ln(5) Reorder the terms for easier multiplication: -20ln + lnx = 5ln Solving -20ln + lnx = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. -20ln + -5ln + lnx = 5ln + -5ln Combine like terms: -20ln + -5ln = -25ln -25ln + lnx = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -25ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-25 + 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 '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Add '-1x' to each side of the equation. x + -1x = 25 + -1x Combine like terms: x + -1x = 0 0 = 25 + -1x Simplifying 0 = 25 + -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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