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Simplifying ln(3x + 2) = ln(x) + 3 Reorder the terms: ln(2 + 3x) = ln(x) + 3 (2 * ln + 3x * ln) = ln(x) + 3 (2ln + 3lnx) = ln(x) + 3 Multiply ln * x 2ln + 3lnx = lnx + 3 Reorder the terms: 2ln + 3lnx = 3 + lnx Solving 2ln + 3lnx = 3 + 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. 2ln + 3lnx + -1lnx = 3 + lnx + -1lnx Combine like terms: 3lnx + -1lnx = 2lnx 2ln + 2lnx = 3 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + 2lnx = 3 + 0 2ln + 2lnx = 3 Reorder the terms: -3 + 2ln + 2lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 2ln + 2lnx = 0 The solution to this equation could not be determined.
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