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Simplifying log[5](6x + 1) + -1log[5](x + -1) = 2 Reorder the terms: glo * 5(1 + 6x) + -1log[5](x + -1) = 2 Reorder the terms for easier multiplication: 5glo(1 + 6x) + -1log[5](x + -1) = 2 (1 * 5glo + 6x * 5glo) + -1log[5](x + -1) = 2 (5glo + 30glox) + -1log[5](x + -1) = 2 Reorder the terms: 5glo + 30glox + -1glo * 5(-1 + x) = 2 Reorder the terms for easier multiplication: 5glo + 30glox + -1 * 5glo(-1 + x) = 2 Multiply -1 * 5 5glo + 30glox + -5glo(-1 + x) = 2 5glo + 30glox + (-1 * -5glo + x * -5glo) = 2 5glo + 30glox + (5glo + -5glox) = 2 Reorder the terms: 5glo + 5glo + 30glox + -5glox = 2 Combine like terms: 5glo + 5glo = 10glo 10glo + 30glox + -5glox = 2 Combine like terms: 30glox + -5glox = 25glox 10glo + 25glox = 2 Solving 10glo + 25glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 10glo + 25glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 10glo + 25glox = 0 The solution to this equation could not be determined.
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