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Simplifying 5ln(x + -11) + -3 = 7 Reorder the terms: 5ln(-11 + x) + -3 = 7 (-11 * 5ln + x * 5ln) + -3 = 7 (-55ln + 5lnx) + -3 = 7 Reorder the terms: -3 + -55ln + 5lnx = 7 Solving -3 + -55ln + 5lnx = 7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -55ln + 3 + 5lnx = 7 + 3 Reorder the terms: -3 + 3 + -55ln + 5lnx = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -55ln + 5lnx = 7 + 3 -55ln + 5lnx = 7 + 3 Combine like terms: 7 + 3 = 10 -55ln + 5lnx = 10 Reorder the terms: -10 + -55ln + 5lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -55ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -11ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -11ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + -11ln + lnx = 0 Solving -2 + -11ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -11ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + -11ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11ln + lnx = 0 + 2 -11ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -11ln + lnx = 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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