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Simplifying Ln(x + 36) + -1ln(2x + 6) = 1 Reorder the terms: nL(36 + x) + -1ln(2x + 6) = 1 (36 * nL + x * nL) + -1ln(2x + 6) = 1 (36nL + nxL) + -1ln(2x + 6) = 1 Reorder the terms: 36nL + nxL + -1ln(6 + 2x) = 1 36nL + nxL + (6 * -1ln + 2x * -1ln) = 1 36nL + nxL + (-6ln + -2lnx) = 1 Reorder the terms: -6ln + -2lnx + 36nL + nxL = 1 Solving -6ln + -2lnx + 36nL + nxL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-36nL' to each side of the equation. -6ln + -2lnx + 36nL + -36nL + nxL = 1 + -36nL Combine like terms: 36nL + -36nL = 0 -6ln + -2lnx + 0 + nxL = 1 + -36nL -6ln + -2lnx + nxL = 1 + -36nL Add '-1nxL' to each side of the equation. -6ln + -2lnx + nxL + -1nxL = 1 + -36nL + -1nxL Combine like terms: nxL + -1nxL = 0 -6ln + -2lnx + 0 = 1 + -36nL + -1nxL -6ln + -2lnx = 1 + -36nL + -1nxL Reorder the terms: -1 + -6ln + -2lnx + 36nL + nxL = 1 + -36nL + -1nxL + -1 + 36nL + nxL Reorder the terms: -1 + -6ln + -2lnx + 36nL + nxL = 1 + -1 + -36nL + 36nL + -1nxL + nxL Combine like terms: 1 + -1 = 0 -1 + -6ln + -2lnx + 36nL + nxL = 0 + -36nL + 36nL + -1nxL + nxL -1 + -6ln + -2lnx + 36nL + nxL = -36nL + 36nL + -1nxL + nxL Combine like terms: -36nL + 36nL = 0 -1 + -6ln + -2lnx + 36nL + nxL = 0 + -1nxL + nxL -1 + -6ln + -2lnx + 36nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -1 + -6ln + -2lnx + 36nL + nxL = 0 The solution to this equation could not be determined.
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