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Simplifying x3ln(5) + -1xln(5) = ln(1) Reorder the terms for easier multiplication: 5lnx3 + -1xln(5) = ln(1) Reorder the terms for easier multiplication: 5lnx3 + -1 * 5lnx = ln(1) Multiply -1 * 5 5lnx3 + -5lnx = ln(1) Reorder the terms: -5lnx + 5lnx3 = ln(1) Reorder the terms for easier multiplication: -5lnx + 5lnx3 = 1ln Solving -5lnx + 5lnx3 = 1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. -5lnx + -1ln + 5lnx3 = 1ln + -1ln Reorder the terms: -1ln + -5lnx + 5lnx3 = 1ln + -1ln Combine like terms: 1ln + -1ln = 0 -1ln + -5lnx + 5lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + -5x + 5x3) = 0Subproblem 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 + -5x + 5x3)' equal to zero and attempt to solve: Simplifying -1 + -5x + 5x3 = 0 Solving -1 + -5x + 5x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5x + 1 + 5x3 = 0 + 1 Reorder the terms: -1 + 1 + -5x + 5x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x + 5x3 = 0 + 1 -5x + 5x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -5x + 5x3 = 1 Add '5x' to each side of the equation. -5x + 5x + 5x3 = 1 + 5x Combine like terms: -5x + 5x = 0 0 + 5x3 = 1 + 5x 5x3 = 1 + 5x Add '-5x3' to each side of the equation. 5x3 + -5x3 = 1 + 5x + -5x3 Combine like terms: 5x3 + -5x3 = 0 0 = 1 + 5x + -5x3 Simplifying 0 = 1 + 5x + -5x3 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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