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