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Simplifying ln(-5x5) = 5lnx Remove parenthesis around (-5x5) ln * -5x5 = 5lnx Reorder the terms for easier multiplication: -5ln * x5 = 5lnx Multiply ln * x5 -5lnx5 = 5lnx Solving -5lnx5 = 5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lnx' to each side of the equation. -5lnx + -5lnx5 = 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 -5lnx + -5lnx5 = 0 Factor out the Greatest Common Factor (GCF), '-5lnx'. -5lnx(1 + x4) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + x4)' equal to zero and attempt to solve: Simplifying 1 + x4 = 0 Solving 1 + x4 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x4 = 0 + -1 x4 = 0 + -1 Combine like terms: 0 + -1 = -1 x4 = -1 Add '-1x4' to each side of the equation. x4 + -1x4 = -1 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = -1 + -1x4 Simplifying 0 = -1 + -1x4 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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