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Simplifying log[5](4x + 3) + -1log[5](x + -1) = 2 Reorder the terms: glo * 5(3 + 4x) + -1log[5](x + -1) = 2 Reorder the terms for easier multiplication: 5glo(3 + 4x) + -1log[5](x + -1) = 2 (3 * 5glo + 4x * 5glo) + -1log[5](x + -1) = 2 (15glo + 20glox) + -1log[5](x + -1) = 2 Reorder the terms: 15glo + 20glox + -1glo * 5(-1 + x) = 2 Reorder the terms for easier multiplication: 15glo + 20glox + -1 * 5glo(-1 + x) = 2 Multiply -1 * 5 15glo + 20glox + -5glo(-1 + x) = 2 15glo + 20glox + (-1 * -5glo + x * -5glo) = 2 15glo + 20glox + (5glo + -5glox) = 2 Reorder the terms: 15glo + 5glo + 20glox + -5glox = 2 Combine like terms: 15glo + 5glo = 20glo 20glo + 20glox + -5glox = 2 Combine like terms: 20glox + -5glox = 15glox 20glo + 15glox = 2 Solving 20glo + 15glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 20glo + 15glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 20glo + 15glox = 0 The solution to this equation could not be determined.
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