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Simplifying 6ln(x + -5) + -2 = 40 Reorder the terms: 6ln(-5 + x) + -2 = 40 (-5 * 6ln + x * 6ln) + -2 = 40 (-30ln + 6lnx) + -2 = 40 Reorder the terms: -2 + -30ln + 6lnx = 40 Solving -2 + -30ln + 6lnx = 40 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -30ln + 2 + 6lnx = 40 + 2 Reorder the terms: -2 + 2 + -30ln + 6lnx = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -30ln + 6lnx = 40 + 2 -30ln + 6lnx = 40 + 2 Combine like terms: 40 + 2 = 42 -30ln + 6lnx = 42 Reorder the terms: -42 + -30ln + 6lnx = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + -30ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-7 + -5ln + lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-7 + -5ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + -5ln + lnx = 0 Solving -7 + -5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -5ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + -5ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5ln + lnx = 0 + 7 -5ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -5ln + lnx = 7 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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