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Simplifying xln(2) = ln(22) + -1ln(10) + 4ln(2) Reorder the terms for easier multiplication: 2lnx = ln(22) + -1ln(10) + 4ln(2) Reorder the terms for easier multiplication: 2lnx = 22ln + -1ln(10) + 4ln(2) Reorder the terms for easier multiplication: 2lnx = 22ln + -1 * 10ln + 4ln(2) Multiply -1 * 10 2lnx = 22ln + -10ln + 4ln(2) Reorder the terms for easier multiplication: 2lnx = 22ln + -10ln + 4 * 2ln Multiply 4 * 2 2lnx = 22ln + -10ln + 8ln Combine like terms: 22ln + -10ln = 12ln 2lnx = 12ln + 8ln Combine like terms: 12ln + 8ln = 20ln 2lnx = 20ln Solving 2lnx = 20ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-20ln' to each side of the equation. -20ln + 2lnx = 20ln + -20ln Combine like terms: 20ln + -20ln = 0 -20ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-10 + x) = 0 Ignore the factor 2.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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -1x 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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