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Simplifying ln(25x) + -1ln(x + -1) = 0 Remove parenthesis around (25x) ln * 25x + -1ln(x + -1) = 0 Reorder the terms for easier multiplication: 25ln * x + -1ln(x + -1) = 0 Multiply ln * x 25lnx + -1ln(x + -1) = 0 Reorder the terms: 25lnx + -1ln(-1 + x) = 0 25lnx + (-1 * -1ln + x * -1ln) = 0 25lnx + (1ln + -1lnx) = 0 Reorder the terms: 1ln + 25lnx + -1lnx = 0 Combine like terms: 25lnx + -1lnx = 24lnx 1ln + 24lnx = 0 Solving 1ln + 24lnx = 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(1 + 24x) = 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 + 24x)' equal to zero and attempt to solve: Simplifying 1 + 24x = 0 Solving 1 + 24x = 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 + 24x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 24x = 0 + -1 24x = 0 + -1 Combine like terms: 0 + -1 = -1 24x = -1 Add '-24x' to each side of the equation. 24x + -24x = -1 + -24x Combine like terms: 24x + -24x = 0 0 = -1 + -24x Simplifying 0 = -1 + -24x 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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