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