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Simplifying log[5](x + 11) + log[5](x + 7) = 1 Reorder the terms: glo * 5(11 + x) + log[5](x + 7) = 1 Reorder the terms for easier multiplication: 5glo(11 + x) + log[5](x + 7) = 1 (11 * 5glo + x * 5glo) + log[5](x + 7) = 1 (55glo + 5glox) + log[5](x + 7) = 1 Reorder the terms: 55glo + 5glox + glo * 5(7 + x) = 1 Reorder the terms for easier multiplication: 55glo + 5glox + 5glo(7 + x) = 1 55glo + 5glox + (7 * 5glo + x * 5glo) = 1 55glo + 5glox + (35glo + 5glox) = 1 Reorder the terms: 55glo + 35glo + 5glox + 5glox = 1 Combine like terms: 55glo + 35glo = 90glo 90glo + 5glox + 5glox = 1 Combine like terms: 5glox + 5glox = 10glox 90glo + 10glox = 1 Solving 90glo + 10glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 90glo + 10glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 90glo + 10glox = 0 The solution to this equation could not be determined.
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