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Simplifying Ln(9x) + -1ln(5x + 2) = 1 Remove parenthesis around (9x) nL * 9x + -1ln(5x + 2) = 1 Reorder the terms for easier multiplication: 9nL * x + -1ln(5x + 2) = 1 Multiply nL * x 9nxL + -1ln(5x + 2) = 1 Reorder the terms: 9nxL + -1ln(2 + 5x) = 1 9nxL + (2 * -1ln + 5x * -1ln) = 1 9nxL + (-2ln + -5lnx) = 1 Reorder the terms: -2ln + -5lnx + 9nxL = 1 Solving -2ln + -5lnx + 9nxL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9nxL' to each side of the equation. -2ln + -5lnx + 9nxL + -9nxL = 1 + -9nxL Combine like terms: 9nxL + -9nxL = 0 -2ln + -5lnx + 0 = 1 + -9nxL -2ln + -5lnx = 1 + -9nxL Reorder the terms: -1 + -2ln + -5lnx + 9nxL = 1 + -9nxL + -1 + 9nxL Reorder the terms: -1 + -2ln + -5lnx + 9nxL = 1 + -1 + -9nxL + 9nxL Combine like terms: 1 + -1 = 0 -1 + -2ln + -5lnx + 9nxL = 0 + -9nxL + 9nxL -1 + -2ln + -5lnx + 9nxL = -9nxL + 9nxL Combine like terms: -9nxL + 9nxL = 0 -1 + -2ln + -5lnx + 9nxL = 0 The solution to this equation could not be determined.
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