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Simplifying 6ln(2x + -5) + -8 = 16 Reorder the terms: 6ln(-5 + 2x) + -8 = 16 (-5 * 6ln + 2x * 6ln) + -8 = 16 (-30ln + 12lnx) + -8 = 16 Reorder the terms: -8 + -30ln + 12lnx = 16 Solving -8 + -30ln + 12lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -30ln + 8 + 12lnx = 16 + 8 Reorder the terms: -8 + 8 + -30ln + 12lnx = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -30ln + 12lnx = 16 + 8 -30ln + 12lnx = 16 + 8 Combine like terms: 16 + 8 = 24 -30ln + 12lnx = 24 Reorder the terms: -24 + -30ln + 12lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -30ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + -5ln + 2lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -5ln + 2lnx)' equal to zero and attempt to solve: Simplifying -4 + -5ln + 2lnx = 0 Solving -4 + -5ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5ln + 4 + 2lnx = 0 + 4 Reorder the terms: -4 + 4 + -5ln + 2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5ln + 2lnx = 0 + 4 -5ln + 2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -5ln + 2lnx = 4 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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