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Simplifying 3ln(4x + -6) + -7 = 5 Reorder the terms: 3ln(-6 + 4x) + -7 = 5 (-6 * 3ln + 4x * 3ln) + -7 = 5 (-18ln + 12lnx) + -7 = 5 Reorder the terms: -7 + -18ln + 12lnx = 5 Solving -7 + -18ln + 12lnx = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -18ln + 7 + 12lnx = 5 + 7 Reorder the terms: -7 + 7 + -18ln + 12lnx = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -18ln + 12lnx = 5 + 7 -18ln + 12lnx = 5 + 7 Combine like terms: 5 + 7 = 12 -18ln + 12lnx = 12 Reorder the terms: -12 + -18ln + 12lnx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -18ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -3ln + 2lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -2 + -3ln + 2lnx = 0 Solving -2 + -3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + 2lnx = 0 + 2 Reorder the terms: -2 + 2 + -3ln + 2lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + 2lnx = 0 + 2 -3ln + 2lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + 2lnx = 2 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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