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Simplifying -5ln(6x + 13) + 29 = 4 Reorder the terms: -5ln(13 + 6x) + 29 = 4 (13 * -5ln + 6x * -5ln) + 29 = 4 (-65ln + -30lnx) + 29 = 4 Reorder the terms: 29 + -65ln + -30lnx = 4 Solving 29 + -65ln + -30lnx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -65ln + -29 + -30lnx = 4 + -29 Reorder the terms: 29 + -29 + -65ln + -30lnx = 4 + -29 Combine like terms: 29 + -29 = 0 0 + -65ln + -30lnx = 4 + -29 -65ln + -30lnx = 4 + -29 Combine like terms: 4 + -29 = -25 -65ln + -30lnx = -25 Reorder the terms: 25 + -65ln + -30lnx = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -65ln + -30lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -13ln + -6lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -13ln + -6lnx)' equal to zero and attempt to solve: Simplifying 5 + -13ln + -6lnx = 0 Solving 5 + -13ln + -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 + -13ln + -5 + -6lnx = 0 + -5 Reorder the terms: 5 + -5 + -13ln + -6lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13ln + -6lnx = 0 + -5 -13ln + -6lnx = 0 + -5 Combine like terms: 0 + -5 = -5 -13ln + -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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