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Simplifying 7 + 3ln(2x + -1) = 10 Reorder the terms: 7 + 3ln(-1 + 2x) = 10 7 + (-1 * 3ln + 2x * 3ln) = 10 7 + (-3ln + 6lnx) = 10 Solving 7 + -3ln + 6lnx = 10 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 + -3ln + -7 + 6lnx = 10 + -7 Reorder the terms: 7 + -7 + -3ln + 6lnx = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3ln + 6lnx = 10 + -7 -3ln + 6lnx = 10 + -7 Combine like terms: 10 + -7 = 3 -3ln + 6lnx = 3 Reorder the terms: -3 + -3ln + 6lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -3ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -1ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1ln + 2lnx)' equal to zero and attempt to solve: Simplifying -1 + -1ln + 2lnx = 0 Solving -1 + -1ln + 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 + -1ln + 1 + 2lnx = 0 + 1 Reorder the terms: -1 + 1 + -1ln + 2lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ln + 2lnx = 0 + 1 -1ln + 2lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -1ln + 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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