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Simplifying 5ln(a) + -2ln(b) = 0 Multiply ln * a 5aln + -2ln(b) = 0 Multiply ln * b 5aln + -2bln = 0 Solving 5aln + -2bln = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bln' to each side of the equation. 5aln + -2bln + 2bln = 0 + 2bln Combine like terms: -2bln + 2bln = 0 5aln + 0 = 0 + 2bln 5aln = 0 + 2bln Remove the zero: 5aln = 2bln Divide each side by '5ln'. a = 0.4b Simplifying a = 0.4b
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