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Simplifying 15ln(1 + 0.5x) = ln(2 + 15x) (1 * 15ln + 0.5x * 15ln) = ln(2 + 15x) (15ln + 7.5lnx) = ln(2 + 15x) 15ln + 7.5lnx = (2 * ln + 15x * ln) 15ln + 7.5lnx = (2ln + 15lnx) Solving 15ln + 7.5lnx = 2ln + 15lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. 15ln + -2ln + 7.5lnx = 2ln + -2ln + 15lnx Combine like terms: 15ln + -2ln = 13ln 13ln + 7.5lnx = 2ln + -2ln + 15lnx Combine like terms: 2ln + -2ln = 0 13ln + 7.5lnx = 0 + 15lnx 13ln + 7.5lnx = 15lnx Add '-15lnx' to each side of the equation. 13ln + 7.5lnx + -15lnx = 15lnx + -15lnx Combine like terms: 7.5lnx + -15lnx = -7.5lnx 13ln + -7.5lnx = 15lnx + -15lnx Combine like terms: 15lnx + -15lnx = 0 13ln + -7.5lnx = 0 The solution to this equation could not be determined.
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