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Simplifying 7ln(x + 9) + -4ln(x) = 0 Reorder the terms: 7ln(9 + x) + -4ln(x) = 0 (9 * 7ln + x * 7ln) + -4ln(x) = 0 (63ln + 7lnx) + -4ln(x) = 0 Multiply ln * x 63ln + 7lnx + -4lnx = 0 Combine like terms: 7lnx + -4lnx = 3lnx 63ln + 3lnx = 0 Solving 63ln + 3lnx = 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), '3ln'. 3ln(21 + 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 '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Add '-1x' to each side of the equation. x + -1x = -21 + -1x Combine like terms: x + -1x = 0 0 = -21 + -1x Simplifying 0 = -21 + -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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