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Simplifying 1.95 = ln(3k + 1) Reorder the terms: 1.95 = ln(1 + 3k) 1.95 = (1 * ln + 3k * ln) Reorder the terms: 1.95 = (3kln + 1ln) 1.95 = (3kln + 1ln) Solving 1.95 = 3kln + 1ln Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3kln' to each side of the equation. 1.95 + -3kln = 3kln + -3kln + 1ln Combine like terms: 3kln + -3kln = 0 1.95 + -3kln = 0 + 1ln 1.95 + -3kln = 1ln Add '-1.95' to each side of the equation. 1.95 + -1.95 + -3kln = -1.95 + 1ln Combine like terms: 1.95 + -1.95 = 0.00 0.00 + -3kln = -1.95 + 1ln -3kln = -1.95 + 1ln Divide each side by '-3ln'. k = 0.65l-1n-1 + -0.3333333333 Simplifying k = 0.65l-1n-1 + -0.3333333333 Reorder the terms: k = -0.3333333333 + 0.65l-1n-1
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