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Simplifying log[5](5x + 10) + -1log[5](x + -3) = 2 Reorder the terms: glo * 5(10 + 5x) + -1log[5](x + -3) = 2 Reorder the terms for easier multiplication: 5glo(10 + 5x) + -1log[5](x + -3) = 2 (10 * 5glo + 5x * 5glo) + -1log[5](x + -3) = 2 (50glo + 25glox) + -1log[5](x + -3) = 2 Reorder the terms: 50glo + 25glox + -1glo * 5(-3 + x) = 2 Reorder the terms for easier multiplication: 50glo + 25glox + -1 * 5glo(-3 + x) = 2 Multiply -1 * 5 50glo + 25glox + -5glo(-3 + x) = 2 50glo + 25glox + (-3 * -5glo + x * -5glo) = 2 50glo + 25glox + (15glo + -5glox) = 2 Reorder the terms: 50glo + 15glo + 25glox + -5glox = 2 Combine like terms: 50glo + 15glo = 65glo 65glo + 25glox + -5glox = 2 Combine like terms: 25glox + -5glox = 20glox 65glo + 20glox = 2 Solving 65glo + 20glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 65glo + 20glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 65glo + 20glox = 0 The solution to this equation could not be determined.
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