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Simplifying ln(2x4) + ln(9x9) = ln Remove parenthesis around (2x4) ln * 2x4 + ln(9x9) = ln Reorder the terms for easier multiplication: 2ln * x4 + ln(9x9) = ln Multiply ln * x4 2lnx4 + ln(9x9) = ln Remove parenthesis around (9x9) 2lnx4 + ln * 9x9 = ln Reorder the terms for easier multiplication: 2lnx4 + 9ln * x9 = ln Multiply ln * x9 2lnx4 + 9lnx9 = ln Solving 2lnx4 + 9lnx9 = ln 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. 2lnx4 + -1ln + 9lnx9 = ln + -1ln Reorder the terms: -1ln + 2lnx4 + 9lnx9 = ln + -1ln Combine like terms: ln + -1ln = 0 -1ln + 2lnx4 + 9lnx9 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + 2x4 + 9x9) = 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 + 2x4 + 9x9)' equal to zero and attempt to solve: Simplifying -1 + 2x4 + 9x9 = 0 Solving -1 + 2x4 + 9x9 = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x4 + 1 + 9x9 = 0 + 1 Reorder the terms: -1 + 1 + 2x4 + 9x9 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x4 + 9x9 = 0 + 1 2x4 + 9x9 = 0 + 1 Combine like terms: 0 + 1 = 1 2x4 + 9x9 = 1 Add '-2x4' to each side of the equation. 2x4 + -2x4 + 9x9 = 1 + -2x4 Combine like terms: 2x4 + -2x4 = 0 0 + 9x9 = 1 + -2x4 9x9 = 1 + -2x4 Add '-9x9' to each side of the equation. 9x9 + -9x9 = 1 + -2x4 + -9x9 Combine like terms: 9x9 + -9x9 = 0 0 = 1 + -2x4 + -9x9 Simplifying 0 = 1 + -2x4 + -9x9 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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