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Simplifying ln(9300) = ln(3000 + 0.99D) + 9ln(10000 + -0.01D) Reorder the terms for easier multiplication: 9300ln = ln(3000 + 0.99D) + 9ln(10000 + -0.01D) 9300ln = (3000 * ln + 0.99D * ln) + 9ln(10000 + -0.01D) 9300ln = (3000ln + 0.99lnD) + 9ln(10000 + -0.01D) 9300ln = 3000ln + 0.99lnD + (10000 * 9ln + -0.01D * 9ln) 9300ln = 3000ln + 0.99lnD + (90000ln + -0.09lnD) Reorder the terms: 9300ln = 3000ln + 90000ln + 0.99lnD + -0.09lnD Combine like terms: 3000ln + 90000ln = 93000ln 9300ln = 93000ln + 0.99lnD + -0.09lnD Combine like terms: 0.99lnD + -0.09lnD = 0.9lnD 9300ln = 93000ln + 0.9lnD Solving 9300ln = 93000ln + 0.9lnD Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-93000ln' to each side of the equation. 9300ln + -93000ln = 93000ln + -93000ln + 0.9lnD Combine like terms: 9300ln + -93000ln = -83700ln -83700ln = 93000ln + -93000ln + 0.9lnD Combine like terms: 93000ln + -93000ln = 0 -83700ln = 0 + 0.9lnD -83700ln = 0.9lnD Add '-0.9lnD' to each side of the equation. -83700ln + -0.9lnD = 0.9lnD + -0.9lnD Combine like terms: 0.9lnD + -0.9lnD = 0.0 -83700ln + -0.9lnD = 0.0 The solution to this equation could not be determined.
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