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