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Simplifying 10 + -2ln(7 + -6x) = 8 10 + (7 * -2ln + -6x * -2ln) = 8 10 + (-14ln + 12lnx) = 8 Solving 10 + -14ln + 12lnx = 8 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 + -14ln + -10 + 12lnx = 8 + -10 Reorder the terms: 10 + -10 + -14ln + 12lnx = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -14ln + 12lnx = 8 + -10 -14ln + 12lnx = 8 + -10 Combine like terms: 8 + -10 = -2 -14ln + 12lnx = -2 Reorder the terms: 2 + -14ln + 12lnx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -14ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -7ln + 6lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -7ln + 6lnx)' equal to zero and attempt to solve: Simplifying 1 + -7ln + 6lnx = 0 Solving 1 + -7ln + 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 + -7ln + -1 + 6lnx = 0 + -1 Reorder the terms: 1 + -1 + -7ln + 6lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7ln + 6lnx = 0 + -1 -7ln + 6lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -7ln + 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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