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Simplifying ln(x) + la(6) = ln(15) Multiply ln * x lnx + la(6) = ln(15) Reorder the terms for easier multiplication: lnx + 6al = ln(15) Reorder the terms: 6al + lnx = ln(15) Reorder the terms for easier multiplication: 6al + lnx = 15ln Solving 6al + lnx = 15ln Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 6al + lnx + -1lnx = 15ln + -1lnx Combine like terms: lnx + -1lnx = 0 6al + 0 = 15ln + -1lnx 6al = 15ln + -1lnx Divide each side by '6l'. a = 2.5n + -0.1666666667nx Simplifying a = 2.5n + -0.1666666667nx
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