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Simplifying ln(x + 7) + -1ln(18) = ln(9) Reorder the terms: ln(7 + x) + -1ln(18) = ln(9) (7 * ln + x * ln) + -1ln(18) = ln(9) (7ln + lnx) + -1ln(18) = ln(9) Reorder the terms for easier multiplication: 7ln + lnx + -1 * 18ln = ln(9) Multiply -1 * 18 7ln + lnx + -18ln = ln(9) Reorder the terms: 7ln + -18ln + lnx = ln(9) Combine like terms: 7ln + -18ln = -11ln -11ln + lnx = ln(9) Reorder the terms for easier multiplication: -11ln + lnx = 9ln Solving -11ln + lnx = 9ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9ln' to each side of the equation. -11ln + -9ln + lnx = 9ln + -9ln Combine like terms: -11ln + -9ln = -20ln -20ln + lnx = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 -20ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-20 + 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Add '-1x' to each side of the equation. x + -1x = 20 + -1x Combine like terms: x + -1x = 0 0 = 20 + -1x Simplifying 0 = 20 + -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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