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Simplifying ln(x + 1) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 Reorder the terms: ln(1 + x) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 (1 * ln + x * ln) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 (1ln + lnx) + ln(x + -1) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 Reorder the terms: 1ln + lnx + ln(-1 + x) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 1ln + lnx + (-1 * ln + x * ln) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 1ln + lnx + (-1ln + lnx) + -1(ln(4x2 + -4) + -1ln(4)) = e5x + -300 Reorder the terms: 1ln + lnx + -1ln + lnx + -1(ln(-4 + 4x2) + -1ln(4)) = e5x + -300 1ln + lnx + -1ln + lnx + -1((-4 * ln + 4x2 * ln) + -1ln(4)) = e5x + -300 1ln + lnx + -1ln + lnx + -1((-4ln + 4lnx2) + -1ln(4)) = e5x + -300 Reorder the terms for easier multiplication: 1ln + lnx + -1ln + lnx + -1(-4ln + 4lnx2 + -1 * 4ln) = e5x + -300 Multiply -1 * 4 1ln + lnx + -1ln + lnx + -1(-4ln + 4lnx2 + -4ln) = e5x + -300 Reorder the terms: 1ln + lnx + -1ln + lnx + -1(-4ln + -4ln + 4lnx2) = e5x + -300 Combine like terms: -4ln + -4ln = -8ln 1ln + lnx + -1ln + lnx + -1(-8ln + 4lnx2) = e5x + -300 1ln + lnx + -1ln + lnx + (-8ln * -1 + 4lnx2 * -1) = e5x + -300 1ln + lnx + -1ln + lnx + (8ln + -4lnx2) = e5x + -300 Reorder the terms: 1ln + -1ln + 8ln + lnx + lnx + -4lnx2 = e5x + -300 Combine like terms: 1ln + -1ln = 0 0 + 8ln + lnx + lnx + -4lnx2 = e5x + -300 8ln + lnx + lnx + -4lnx2 = e5x + -300 Combine like terms: lnx + lnx = 2lnx 8ln + 2lnx + -4lnx2 = e5x + -300 Reorder the terms: 8ln + 2lnx + -4lnx2 = -300 + e5x Solving 8ln + 2lnx + -4lnx2 = -300 + e5x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 300 + -1e5x + 8ln + 2lnx + -4lnx2 = -300 + e5x + 300 + -1e5x Reorder the terms: 300 + -1e5x + 8ln + 2lnx + -4lnx2 = -300 + 300 + e5x + -1e5x Combine like terms: -300 + 300 = 0 300 + -1e5x + 8ln + 2lnx + -4lnx2 = 0 + e5x + -1e5x 300 + -1e5x + 8ln + 2lnx + -4lnx2 = e5x + -1e5x Combine like terms: e5x + -1e5x = 0 300 + -1e5x + 8ln + 2lnx + -4lnx2 = 0 The solution to this equation could not be determined.
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