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Simplifying ln(5x + 6) + -1ln(x) = ln(6) Reorder the terms: ln(6 + 5x) + -1ln(x) = ln(6) (6 * ln + 5x * ln) + -1ln(x) = ln(6) (6ln + 5lnx) + -1ln(x) = ln(6) Multiply ln * x 6ln + 5lnx + -1lnx = ln(6) Combine like terms: 5lnx + -1lnx = 4lnx 6ln + 4lnx = ln(6) Reorder the terms for easier multiplication: 6ln + 4lnx = 6ln Add '-6ln' to each side of the equation. 6ln + -6ln + 4lnx = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 0 + 4lnx = 6ln + -6ln 4lnx = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 4lnx = 0 Solving 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '4'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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