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Simplifying ln(x + 4) + -1ln(18) = ln(5) Reorder the terms: ln(4 + x) + -1ln(18) = ln(5) (4 * ln + x * ln) + -1ln(18) = ln(5) (4ln + lnx) + -1ln(18) = ln(5) Reorder the terms for easier multiplication: 4ln + lnx + -1 * 18ln = ln(5) Multiply -1 * 18 4ln + lnx + -18ln = ln(5) Reorder the terms: 4ln + -18ln + lnx = ln(5) Combine like terms: 4ln + -18ln = -14ln -14ln + lnx = ln(5) Reorder the terms for easier multiplication: -14ln + lnx = 5ln Solving -14ln + 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. -14ln + -5ln + lnx = 5ln + -5ln Combine like terms: -14ln + -5ln = -19ln -19ln + lnx = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -19ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-19 + 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 '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Add '-1x' to each side of the equation. x + -1x = 19 + -1x Combine like terms: x + -1x = 0 0 = 19 + -1x Simplifying 0 = 19 + -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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