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Simplifying Ln(5x + 4) + ln(x + 1) = 5 Reorder the terms: nL(4 + 5x) + ln(x + 1) = 5 (4 * nL + 5x * nL) + ln(x + 1) = 5 (4nL + 5nxL) + ln(x + 1) = 5 Reorder the terms: 4nL + 5nxL + ln(1 + x) = 5 4nL + 5nxL + (1 * ln + x * ln) = 5 4nL + 5nxL + (1ln + lnx) = 5 Reorder the terms: 1ln + lnx + 4nL + 5nxL = 5 Solving 1ln + lnx + 4nL + 5nxL = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4nL' to each side of the equation. 1ln + lnx + 4nL + -4nL + 5nxL = 5 + -4nL Combine like terms: 4nL + -4nL = 0 1ln + lnx + 0 + 5nxL = 5 + -4nL 1ln + lnx + 5nxL = 5 + -4nL Add '-5nxL' to each side of the equation. 1ln + lnx + 5nxL + -5nxL = 5 + -4nL + -5nxL Combine like terms: 5nxL + -5nxL = 0 1ln + lnx + 0 = 5 + -4nL + -5nxL 1ln + lnx = 5 + -4nL + -5nxL Reorder the terms: -5 + 1ln + lnx + 4nL + 5nxL = 5 + -4nL + -5nxL + -5 + 4nL + 5nxL Reorder the terms: -5 + 1ln + lnx + 4nL + 5nxL = 5 + -5 + -4nL + 4nL + -5nxL + 5nxL Combine like terms: 5 + -5 = 0 -5 + 1ln + lnx + 4nL + 5nxL = 0 + -4nL + 4nL + -5nxL + 5nxL -5 + 1ln + lnx + 4nL + 5nxL = -4nL + 4nL + -5nxL + 5nxL Combine like terms: -4nL + 4nL = 0 -5 + 1ln + lnx + 4nL + 5nxL = 0 + -5nxL + 5nxL -5 + 1ln + lnx + 4nL + 5nxL = -5nxL + 5nxL Combine like terms: -5nxL + 5nxL = 0 -5 + 1ln + lnx + 4nL + 5nxL = 0 The solution to this equation could not be determined.
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