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