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Simplifying 10 + -4ln(2 + -6x) = 6 10 + (2 * -4ln + -6x * -4ln) = 6 10 + (-8ln + 24lnx) = 6 Solving 10 + -8ln + 24lnx = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -8ln + -10 + 24lnx = 6 + -10 Reorder the terms: 10 + -10 + -8ln + 24lnx = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -8ln + 24lnx = 6 + -10 -8ln + 24lnx = 6 + -10 Combine like terms: 6 + -10 = -4 -8ln + 24lnx = -4 Reorder the terms: 4 + -8ln + 24lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -8ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2ln + 6lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2ln + 6lnx)' equal to zero and attempt to solve: Simplifying 1 + -2ln + 6lnx = 0 Solving 1 + -2ln + 6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ln + -1 + 6lnx = 0 + -1 Reorder the terms: 1 + -1 + -2ln + 6lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + 6lnx = 0 + -1 -2ln + 6lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -2ln + 6lnx = -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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