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Simplifying log[5](x + 6) + log[5](x + 3) = 2 Reorder the terms: glo * 5(6 + x) + log[5](x + 3) = 2 Reorder the terms for easier multiplication: 5glo(6 + x) + log[5](x + 3) = 2 (6 * 5glo + x * 5glo) + log[5](x + 3) = 2 (30glo + 5glox) + log[5](x + 3) = 2 Reorder the terms: 30glo + 5glox + glo * 5(3 + x) = 2 Reorder the terms for easier multiplication: 30glo + 5glox + 5glo(3 + x) = 2 30glo + 5glox + (3 * 5glo + x * 5glo) = 2 30glo + 5glox + (15glo + 5glox) = 2 Reorder the terms: 30glo + 15glo + 5glox + 5glox = 2 Combine like terms: 30glo + 15glo = 45glo 45glo + 5glox + 5glox = 2 Combine like terms: 5glox + 5glox = 10glox 45glo + 10glox = 2 Solving 45glo + 10glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 45glo + 10glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 45glo + 10glox = 0 The solution to this equation could not be determined.
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