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Simplifying ln(x + -6) + -1ln(19) = ln(18) Reorder the terms: ln(-6 + x) + -1ln(19) = ln(18) (-6 * ln + x * ln) + -1ln(19) = ln(18) (-6ln + lnx) + -1ln(19) = ln(18) Reorder the terms for easier multiplication: -6ln + lnx + -1 * 19ln = ln(18) Multiply -1 * 19 -6ln + lnx + -19ln = ln(18) Reorder the terms: -6ln + -19ln + lnx = ln(18) Combine like terms: -6ln + -19ln = -25ln -25ln + lnx = ln(18) Reorder the terms for easier multiplication: -25ln + lnx = 18ln Solving -25ln + lnx = 18ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18ln' to each side of the equation. -25ln + -18ln + lnx = 18ln + -18ln Combine like terms: -25ln + -18ln = -43ln -43ln + lnx = 18ln + -18ln Combine like terms: 18ln + -18ln = 0 -43ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-43 + 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 '(-43 + x)' equal to zero and attempt to solve: Simplifying -43 + x = 0 Solving -43 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + x = 0 + 43 x = 0 + 43 Combine like terms: 0 + 43 = 43 x = 43 Add '-1x' to each side of the equation. x + -1x = 43 + -1x Combine like terms: x + -1x = 0 0 = 43 + -1x Simplifying 0 = 43 + -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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