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Simplifying ln(x + 1) + 2ln(3) = ln(99) Reorder the terms: ln(1 + x) + 2ln(3) = ln(99) (1 * ln + x * ln) + 2ln(3) = ln(99) (1ln + lnx) + 2ln(3) = ln(99) Reorder the terms for easier multiplication: 1ln + lnx + 2 * 3ln = ln(99) Multiply 2 * 3 1ln + lnx + 6ln = ln(99) Reorder the terms: 1ln + 6ln + lnx = ln(99) Combine like terms: 1ln + 6ln = 7ln 7ln + lnx = ln(99) Reorder the terms for easier multiplication: 7ln + lnx = 99ln Solving 7ln + lnx = 99ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-99ln' to each side of the equation. 7ln + -99ln + lnx = 99ln + -99ln Combine like terms: 7ln + -99ln = -92ln -92ln + lnx = 99ln + -99ln Combine like terms: 99ln + -99ln = 0 -92ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-92 + 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 '(-92 + x)' equal to zero and attempt to solve: Simplifying -92 + x = 0 Solving -92 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + x = 0 + 92 Combine like terms: -92 + 92 = 0 0 + x = 0 + 92 x = 0 + 92 Combine like terms: 0 + 92 = 92 x = 92 Add '-1x' to each side of the equation. x + -1x = 92 + -1x Combine like terms: x + -1x = 0 0 = 92 + -1x Simplifying 0 = 92 + -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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