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Simplifying 50000 = 10ln(x + 2) + 20 Reorder the terms: 50000 = 10ln(2 + x) + 20 50000 = (2 * 10ln + x * 10ln) + 20 50000 = (20ln + 10lnx) + 20 Reorder the terms: 50000 = 20 + 20ln + 10lnx Solving 50000 = 20 + 20ln + 10lnx 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. 50000 + -20ln = 20 + 20ln + -20ln + 10lnx Combine like terms: 20ln + -20ln = 0 50000 + -20ln = 20 + 0 + 10lnx 50000 + -20ln = 20 + 10lnx Add '-10lnx' to each side of the equation. 50000 + -20ln + -10lnx = 20 + 10lnx + -10lnx Combine like terms: 10lnx + -10lnx = 0 50000 + -20ln + -10lnx = 20 + 0 50000 + -20ln + -10lnx = 20 Add '-50000' to each side of the equation. 50000 + -20ln + -50000 + -10lnx = 20 + -50000 Reorder the terms: 50000 + -50000 + -20ln + -10lnx = 20 + -50000 Combine like terms: 50000 + -50000 = 0 0 + -20ln + -10lnx = 20 + -50000 -20ln + -10lnx = 20 + -50000 Combine like terms: 20 + -50000 = -49980 -20ln + -10lnx = -49980 Reorder the terms: 49980 + -20ln + -10lnx = -49980 + 49980 Combine like terms: -49980 + 49980 = 0 49980 + -20ln + -10lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(4998 + -2ln + -1lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4998 + -2ln + -1lnx)' equal to zero and attempt to solve: Simplifying 4998 + -2ln + -1lnx = 0 Solving 4998 + -2ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4998' to each side of the equation. 4998 + -2ln + -4998 + -1lnx = 0 + -4998 Reorder the terms: 4998 + -4998 + -2ln + -1lnx = 0 + -4998 Combine like terms: 4998 + -4998 = 0 0 + -2ln + -1lnx = 0 + -4998 -2ln + -1lnx = 0 + -4998 Combine like terms: 0 + -4998 = -4998 -2ln + -1lnx = -4998 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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