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Simplifying ln(3x + -1) + ln(5x + 4) = ln(3) Reorder the terms: ln(-1 + 3x) + ln(5x + 4) = ln(3) (-1 * ln + 3x * ln) + ln(5x + 4) = ln(3) (-1ln + 3lnx) + ln(5x + 4) = ln(3) Reorder the terms: -1ln + 3lnx + ln(4 + 5x) = ln(3) -1ln + 3lnx + (4 * ln + 5x * ln) = ln(3) -1ln + 3lnx + (4ln + 5lnx) = ln(3) Reorder the terms: -1ln + 4ln + 3lnx + 5lnx = ln(3) Combine like terms: -1ln + 4ln = 3ln 3ln + 3lnx + 5lnx = ln(3) Combine like terms: 3lnx + 5lnx = 8lnx 3ln + 8lnx = ln(3) Reorder the terms for easier multiplication: 3ln + 8lnx = 3ln Add '-3ln' to each side of the equation. 3ln + -3ln + 8lnx = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 0 + 8lnx = 3ln + -3ln 8lnx = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 8lnx = 0 Solving 8lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '8'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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