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Simplifying log[5](x + -7) + log[5](x + -4) + -1log[5](x) = 1 Reorder the terms: glo * 5(-7 + x) + log[5](x + -4) + -1log[5](x) = 1 Reorder the terms for easier multiplication: 5glo(-7 + x) + log[5](x + -4) + -1log[5](x) = 1 (-7 * 5glo + x * 5glo) + log[5](x + -4) + -1log[5](x) = 1 (-35glo + 5glox) + log[5](x + -4) + -1log[5](x) = 1 Reorder the terms: -35glo + 5glox + glo * 5(-4 + x) + -1log[5](x) = 1 Reorder the terms for easier multiplication: -35glo + 5glox + 5glo(-4 + x) + -1log[5](x) = 1 -35glo + 5glox + (-4 * 5glo + x * 5glo) + -1log[5](x) = 1 -35glo + 5glox + (-20glo + 5glox) + -1log[5](x) = 1 Reorder the terms for easier multiplication: -35glo + 5glox + -20glo + 5glox + -1 * 5glo * x = 1 Multiply -1 * 5 -35glo + 5glox + -20glo + 5glox + -5glo * x = 1 Multiply glo * x -35glo + 5glox + -20glo + 5glox + -5glox = 1 Reorder the terms: -35glo + -20glo + 5glox + 5glox + -5glox = 1 Combine like terms: -35glo + -20glo = -55glo -55glo + 5glox + 5glox + -5glox = 1 Combine like terms: 5glox + 5glox = 10glox -55glo + 10glox + -5glox = 1 Combine like terms: 10glox + -5glox = 5glox -55glo + 5glox = 1 Solving -55glo + 5glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -55glo + 5glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -55glo + 5glox = 0 The solution to this equation could not be determined.
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