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Simplifying 3log(5x) + 7log(3x) = 15 Remove parenthesis around (5x) 3glo * 5x + 7log(3x) = 15 Reorder the terms for easier multiplication: 3 * 5glo * x + 7log(3x) = 15 Multiply 3 * 5 15glo * x + 7log(3x) = 15 Multiply glo * x 15glox + 7log(3x) = 15 Remove parenthesis around (3x) 15glox + 7glo * 3x = 15 Reorder the terms for easier multiplication: 15glox + 7 * 3glo * x = 15 Multiply 7 * 3 15glox + 21glo * x = 15 Multiply glo * x 15glox + 21glox = 15 Combine like terms: 15glox + 21glox = 36glox 36glox = 15 Solving 36glox = 15 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '36lox'. g = 0.4166666667l-1o-1x-1 Simplifying g = 0.4166666667l-1o-1x-1
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