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Simplifying 5lna + -8lnb = 0 Solving 5aln + -8bln = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bln' to each side of the equation. 5aln + -8bln + 8bln = 0 + 8bln Combine like terms: -8bln + 8bln = 0 5aln + 0 = 0 + 8bln 5aln = 0 + 8bln Remove the zero: 5aln = 8bln Divide each side by '5ln'. a = 1.6b Simplifying a = 1.6b
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