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Simplifying 14 + ln(2x + -10) = 20 Reorder the terms: 14 + ln(-10 + 2x) = 20 14 + (-10 * ln + 2x * ln) = 20 14 + (-10ln + 2lnx) = 20 Solving 14 + -10ln + 2lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -10ln + -14 + 2lnx = 20 + -14 Reorder the terms: 14 + -14 + -10ln + 2lnx = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -10ln + 2lnx = 20 + -14 -10ln + 2lnx = 20 + -14 Combine like terms: 20 + -14 = 6 -10ln + 2lnx = 6 Reorder the terms: -6 + -10ln + 2lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -10ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -5ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -5ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + -5ln + lnx = 0 Solving -3 + -5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5ln + 3 + lnx = 0 + 3 Reorder the terms: -3 + 3 + -5ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5ln + lnx = 0 + 3 -5ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -5ln + lnx = 3 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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