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Simplifying 5ln(4x + -6) = 10 Reorder the terms: 5ln(-6 + 4x) = 10 (-6 * 5ln + 4x * 5ln) = 10 (-30ln + 20lnx) = 10 Solving -30ln + 20lnx = 10 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -10 + -30ln + 20lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -30ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-1 + -3ln + 2lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-1 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -1 + -3ln + 2lnx = 0 Solving -1 + -3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3ln + 1 + 2lnx = 0 + 1 Reorder the terms: -1 + 1 + -3ln + 2lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3ln + 2lnx = 0 + 1 -3ln + 2lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -3ln + 2lnx = 1 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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