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