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Simplifying (x + -1) * ln(3) + 7ln(3) = 3ln(3) Reorder the terms: (-1 + x) * ln(3) + 7ln(3) = 3ln(3) Reorder the terms for easier multiplication: 3ln(-1 + x) + 7ln(3) = 3ln(3) (-1 * 3ln + x * 3ln) + 7ln(3) = 3ln(3) (-3ln + 3lnx) + 7ln(3) = 3ln(3) Reorder the terms for easier multiplication: -3ln + 3lnx + 7 * 3ln = 3ln(3) Multiply 7 * 3 -3ln + 3lnx + 21ln = 3ln(3) Reorder the terms: -3ln + 21ln + 3lnx = 3ln(3) Combine like terms: -3ln + 21ln = 18ln 18ln + 3lnx = 3ln(3) Reorder the terms for easier multiplication: 18ln + 3lnx = 3 * 3ln Multiply 3 * 3 18ln + 3lnx = 9ln Solving 18ln + 3lnx = 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. 18ln + -9ln + 3lnx = 9ln + -9ln Combine like terms: 18ln + -9ln = 9ln 9ln + 3lnx = 9ln + -9ln Combine like terms: 9ln + -9ln = 0 9ln + 3lnx = 0 Factor out the Greatest Common Factor (GCF), '3ln'. 3ln(3 + x) = 0 Ignore the factor 3.Subproblem 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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