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Simplifying ln(13x + 2) + -1ln(x) = ln(x + 2) Reorder the terms: ln(2 + 13x) + -1ln(x) = ln(x + 2) (2 * ln + 13x * ln) + -1ln(x) = ln(x + 2) (2ln + 13lnx) + -1ln(x) = ln(x + 2) Multiply ln * x 2ln + 13lnx + -1lnx = ln(x + 2) Combine like terms: 13lnx + -1lnx = 12lnx 2ln + 12lnx = ln(x + 2) Reorder the terms: 2ln + 12lnx = ln(2 + x) 2ln + 12lnx = (2 * ln + x * ln) 2ln + 12lnx = (2ln + lnx) Add '-2ln' to each side of the equation. 2ln + -2ln + 12lnx = 2ln + -2ln + lnx Combine like terms: 2ln + -2ln = 0 0 + 12lnx = 2ln + -2ln + lnx 12lnx = 2ln + -2ln + lnx Combine like terms: 2ln + -2ln = 0 12lnx = 0 + lnx 12lnx = lnx Solving 12lnx = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 12lnx + -1lnx = lnx + -1lnx Combine like terms: 12lnx + -1lnx = 11lnx 11lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 11lnx = 0 Divide each side by '11'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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