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Simplifying ln(x) + ln(x + 1) = ln(2x + 6) Multiply ln * x lnx + ln(x + 1) = ln(2x + 6) Reorder the terms: lnx + ln(1 + x) = ln(2x + 6) lnx + (1 * ln + x * ln) = ln(2x + 6) lnx + (1ln + lnx) = ln(2x + 6) Reorder the terms: 1ln + lnx + lnx = ln(2x + 6) Combine like terms: lnx + lnx = 2lnx 1ln + 2lnx = ln(2x + 6) Reorder the terms: 1ln + 2lnx = ln(6 + 2x) 1ln + 2lnx = (6 * ln + 2x * ln) 1ln + 2lnx = (6ln + 2lnx) Add '-2lnx' to each side of the equation. 1ln + 2lnx + -2lnx = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1ln + 0 = 6ln + 2lnx + -2lnx 1ln = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1ln = 6ln + 0 1ln = 6ln Solving 1ln = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 1ln + -6ln = 6ln + -6ln Combine like terms: 1ln + -6ln = -5ln -5ln = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 -5ln = 0 Divide each side by '-5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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