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Simplifying 5ln(3x) + -10 = ln(32) Remove parenthesis around (3x) 5ln * 3x + -10 = ln(32) Reorder the terms for easier multiplication: 5 * 3ln * x + -10 = ln(32) Multiply 5 * 3 15ln * x + -10 = ln(32) Multiply ln * x 15lnx + -10 = ln(32) Reorder the terms: -10 + 15lnx = ln(32) Reorder the terms for easier multiplication: -10 + 15lnx = 32ln Solving -10 + 15lnx = 32ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-32ln' to each side of the equation. -10 + -32ln + 15lnx = 32ln + -32ln Combine like terms: 32ln + -32ln = 0 -10 + -32ln + 15lnx = 0 Add '10' to each side of the equation. -10 + -32ln + 10 + 15lnx = 0 + 10 Reorder the terms: -10 + 10 + -32ln + 15lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -32ln + 15lnx = 0 + 10 -32ln + 15lnx = 0 + 10 Combine like terms: 0 + 10 = 10 -32ln + 15lnx = 10 Reorder the terms: -10 + -32ln + 15lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -32ln + 15lnx = 0 The solution to this equation could not be determined.
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