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Simplifying 6 + -5ln(4 + -5x) = -19 6 + (4 * -5ln + -5x * -5ln) = -19 6 + (-20ln + 25lnx) = -19 Solving 6 + -20ln + 25lnx = -19 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -20ln + -6 + 25lnx = -19 + -6 Reorder the terms: 6 + -6 + -20ln + 25lnx = -19 + -6 Combine like terms: 6 + -6 = 0 0 + -20ln + 25lnx = -19 + -6 -20ln + 25lnx = -19 + -6 Combine like terms: -19 + -6 = -25 -20ln + 25lnx = -25 Reorder the terms: 25 + -20ln + 25lnx = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -20ln + 25lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -4ln + 5lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -4ln + 5lnx)' equal to zero and attempt to solve: Simplifying 5 + -4ln + 5lnx = 0 Solving 5 + -4ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4ln + -5 + 5lnx = 0 + -5 Reorder the terms: 5 + -5 + -4ln + 5lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4ln + 5lnx = 0 + -5 -4ln + 5lnx = 0 + -5 Combine like terms: 0 + -5 = -5 -4ln + 5lnx = -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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