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Simplifying ln(25 + -1x3) + -3ln(4 + -1x) = 0 (25 * ln + -1x3 * ln) + -3ln(4 + -1x) = 0 (25ln + -1lnx3) + -3ln(4 + -1x) = 0 25ln + -1lnx3 + (4 * -3ln + -1x * -3ln) = 0 25ln + -1lnx3 + (-12ln + 3lnx) = 0 Reorder the terms: 25ln + -12ln + 3lnx + -1lnx3 = 0 Combine like terms: 25ln + -12ln = 13ln 13ln + 3lnx + -1lnx3 = 0 Solving 13ln + 3lnx + -1lnx3 = 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), 'ln'. ln(13 + 3x + -1x3) = 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 '(13 + 3x + -1x3)' equal to zero and attempt to solve: Simplifying 13 + 3x + -1x3 = 0 Solving 13 + 3x + -1x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 3x + -13 + -1x3 = 0 + -13 Reorder the terms: 13 + -13 + 3x + -1x3 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3x + -1x3 = 0 + -13 3x + -1x3 = 0 + -13 Combine like terms: 0 + -13 = -13 3x + -1x3 = -13 Add '-3x' to each side of the equation. 3x + -3x + -1x3 = -13 + -3x Combine like terms: 3x + -3x = 0 0 + -1x3 = -13 + -3x -1x3 = -13 + -3x Add 'x3' to each side of the equation. -1x3 + x3 = -13 + -3x + x3 Combine like terms: -1x3 + x3 = 0 0 = -13 + -3x + x3 Simplifying 0 = -13 + -3x + x3 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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