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Simplifying 2ln(x) = ln(25) Multiply ln * x 2lnx = ln(25) Reorder the terms for easier multiplication: 2lnx = 25ln Solving 2lnx = 25ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-25ln' to each side of the equation. -25ln + 2lnx = 25ln + -25ln Combine like terms: 25ln + -25ln = 0 -25ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-25 + 2x) = 0## 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 '(-25 + 2x)' equal to zero and attempt to solve: Simplifying -25 + 2x = 0 Solving -25 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 0 + 25 2x = 0 + 25 Combine like terms: 0 + 25 = 25 2x = 25 Add '-2x' to each side of the equation. 2x + -2x = 25 + -2x Combine like terms: 2x + -2x = 0 0 = 25 + -2x Simplifying 0 = 25 + -2x 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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