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Simplifying ln(2) + ln(x + 6) = ln(x) Reorder the terms for easier multiplication: 2ln + ln(x + 6) = ln(x) Reorder the terms: 2ln + ln(6 + x) = ln(x) 2ln + (6 * ln + x * ln) = ln(x) 2ln + (6ln + lnx) = ln(x) Combine like terms: 2ln + 6ln = 8ln 8ln + lnx = ln(x) Multiply ln * x 8ln + lnx = lnx Add '-1lnx' to each side of the equation. 8ln + lnx + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 8ln + 0 = lnx + -1lnx 8ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 8ln = 0 Solving 8ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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