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Simplifying 12 = 6ln(28x + 1) Reorder the terms: 12 = 6ln(1 + 28x) 12 = (1 * 6ln + 28x * 6ln) 12 = (6ln + 168lnx) Solving 12 = 6ln + 168lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 12 + -6ln = 6ln + -6ln + 168lnx Combine like terms: 6ln + -6ln = 0 12 + -6ln = 0 + 168lnx 12 + -6ln = 168lnx Add '-168lnx' to each side of the equation. 12 + -6ln + -168lnx = 168lnx + -168lnx Combine like terms: 168lnx + -168lnx = 0 12 + -6ln + -168lnx = 0 Add '-12' to each side of the equation. 12 + -6ln + -12 + -168lnx = 0 + -12 Reorder the terms: 12 + -12 + -6ln + -168lnx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6ln + -168lnx = 0 + -12 -6ln + -168lnx = 0 + -12 Combine like terms: 0 + -12 = -12 -6ln + -168lnx = -12 Reorder the terms: 12 + -6ln + -168lnx = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -6ln + -168lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -1ln + -28lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + -1ln + -28lnx)' equal to zero and attempt to solve: Simplifying 2 + -1ln + -28lnx = 0 Solving 2 + -1ln + -28lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1ln + -2 + -28lnx = 0 + -2 Reorder the terms: 2 + -2 + -1ln + -28lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ln + -28lnx = 0 + -2 -1ln + -28lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -1ln + -28lnx = -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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