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Simplifying ln(x + 3) + -1ln(19) = ln(13) Reorder the terms: ln(3 + x) + -1ln(19) = ln(13) (3 * ln + x * ln) + -1ln(19) = ln(13) (3ln + lnx) + -1ln(19) = ln(13) Reorder the terms for easier multiplication: 3ln + lnx + -1 * 19ln = ln(13) Multiply -1 * 19 3ln + lnx + -19ln = ln(13) Reorder the terms: 3ln + -19ln + lnx = ln(13) Combine like terms: 3ln + -19ln = -16ln -16ln + lnx = ln(13) Reorder the terms for easier multiplication: -16ln + lnx = 13ln Solving -16ln + lnx = 13ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-13ln' to each side of the equation. -16ln + -13ln + lnx = 13ln + -13ln Combine like terms: -16ln + -13ln = -29ln -29ln + lnx = 13ln + -13ln Combine like terms: 13ln + -13ln = 0 -29ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-29 + 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 '(-29 + x)' equal to zero and attempt to solve: Simplifying -29 + x = 0 Solving -29 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + x = 0 + 29 x = 0 + 29 Combine like terms: 0 + 29 = 29 x = 29 Add '-1x' to each side of the equation. x + -1x = 29 + -1x Combine like terms: x + -1x = 0 0 = 29 + -1x Simplifying 0 = 29 + -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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