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Simplifying Ln(3x) + -2lnx = 5 Remove parenthesis around (3x) nL * 3x + -2lnx = 5 Reorder the terms for easier multiplication: 3nL * x + -2lnx = 5 Multiply nL * x 3nxL + -2lnx = 5 Reorder the terms: -2lnx + 3nxL = 5 Solving -2lnx + 3nxL = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3nxL' to each side of the equation. -2lnx + 3nxL + -3nxL = 5 + -3nxL Combine like terms: 3nxL + -3nxL = 0 -2lnx + 0 = 5 + -3nxL -2lnx = 5 + -3nxL Divide each side by '-2nx'. l = -2.5n-1x-1 + 1.5L Simplifying l = -2.5n-1x-1 + 1.5L Reorder the terms: l = 1.5L + -2.5n-1x-1
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