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Simplifying 4 + -5ln(5 + 6x) = -21 4 + (5 * -5ln + 6x * -5ln) = -21 4 + (-25ln + -30lnx) = -21 Solving 4 + -25ln + -30lnx = -21 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -25ln + -4 + -30lnx = -21 + -4 Reorder the terms: 4 + -4 + -25ln + -30lnx = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -25ln + -30lnx = -21 + -4 -25ln + -30lnx = -21 + -4 Combine like terms: -21 + -4 = -25 -25ln + -30lnx = -25 Reorder the terms: 25 + -25ln + -30lnx = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -25ln + -30lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -5ln + -6lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -5ln + -6lnx)' equal to zero and attempt to solve: Simplifying 5 + -5ln + -6lnx = 0 Solving 5 + -5ln + -6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5ln + -5 + -6lnx = 0 + -5 Reorder the terms: 5 + -5 + -5ln + -6lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5ln + -6lnx = 0 + -5 -5ln + -6lnx = 0 + -5 Combine like terms: 0 + -5 = -5 -5ln + -6lnx = -5 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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