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Simplifying 9500 = 875ln(x + 10) + 1600 Reorder the terms: 9500 = 875ln(10 + x) + 1600 9500 = (10 * 875ln + x * 875ln) + 1600 9500 = (8750ln + 875lnx) + 1600 Reorder the terms: 9500 = 1600 + 8750ln + 875lnx Solving 9500 = 1600 + 8750ln + 875lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8750ln' to each side of the equation. 9500 + -8750ln = 1600 + 8750ln + -8750ln + 875lnx Combine like terms: 8750ln + -8750ln = 0 9500 + -8750ln = 1600 + 0 + 875lnx 9500 + -8750ln = 1600 + 875lnx Add '-875lnx' to each side of the equation. 9500 + -8750ln + -875lnx = 1600 + 875lnx + -875lnx Combine like terms: 875lnx + -875lnx = 0 9500 + -8750ln + -875lnx = 1600 + 0 9500 + -8750ln + -875lnx = 1600 Add '-9500' to each side of the equation. 9500 + -8750ln + -9500 + -875lnx = 1600 + -9500 Reorder the terms: 9500 + -9500 + -8750ln + -875lnx = 1600 + -9500 Combine like terms: 9500 + -9500 = 0 0 + -8750ln + -875lnx = 1600 + -9500 -8750ln + -875lnx = 1600 + -9500 Combine like terms: 1600 + -9500 = -7900 -8750ln + -875lnx = -7900 Reorder the terms: 7900 + -8750ln + -875lnx = -7900 + 7900 Combine like terms: -7900 + 7900 = 0 7900 + -8750ln + -875lnx = 0 Factor out the Greatest Common Factor (GCF), '25'. 25(316 + -350ln + -35lnx) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(316 + -350ln + -35lnx)' equal to zero and attempt to solve: Simplifying 316 + -350ln + -35lnx = 0 Solving 316 + -350ln + -35lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-316' to each side of the equation. 316 + -350ln + -316 + -35lnx = 0 + -316 Reorder the terms: 316 + -316 + -350ln + -35lnx = 0 + -316 Combine like terms: 316 + -316 = 0 0 + -350ln + -35lnx = 0 + -316 -350ln + -35lnx = 0 + -316 Combine like terms: 0 + -316 = -316 -350ln + -35lnx = -316 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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