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Simplifying Ln(5x2) = 4 + -1ln(3x) Remove parenthesis around (5x2) nL * 5x2 = 4 + -1ln(3x) Reorder the terms for easier multiplication: 5nL * x2 = 4 + -1ln(3x) Multiply nL * x2 5nx2L = 4 + -1ln(3x) Remove parenthesis around (3x) 5nx2L = 4 + -1ln * 3x Reorder the terms for easier multiplication: 5nx2L = 4 + -1 * 3ln * x Multiply -1 * 3 5nx2L = 4 + -3ln * x Multiply ln * x 5nx2L = 4 + -3lnx Solving 5nx2L = 4 + -3lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3lnx' to each side of the equation. 3lnx + 5nx2L = 4 + -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 3lnx + 5nx2L = 4 + 0 3lnx + 5nx2L = 4 Reorder the terms: -4 + 3lnx + 5nx2L = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 3lnx + 5nx2L = 0 The solution to this equation could not be determined.
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