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