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Simplifying log[5](x + -7) = log[5](x + -3) Reorder the terms: glo * 5(-7 + x) = log[5](x + -3) Reorder the terms for easier multiplication: 5glo(-7 + x) = log[5](x + -3) (-7 * 5glo + x * 5glo) = log[5](x + -3) (-35glo + 5glox) = log[5](x + -3) Reorder the terms: -35glo + 5glox = glo * 5(-3 + x) Reorder the terms for easier multiplication: -35glo + 5glox = 5glo(-3 + x) -35glo + 5glox = (-3 * 5glo + x * 5glo) -35glo + 5glox = (-15glo + 5glox) Add '-5glox' to each side of the equation. -35glo + 5glox + -5glox = -15glo + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -35glo + 0 = -15glo + 5glox + -5glox -35glo = -15glo + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -35glo = -15glo + 0 -35glo = -15glo Solving -35glo = -15glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '15glo' to each side of the equation. -35glo + 15glo = -15glo + 15glo Combine like terms: -35glo + 15glo = -20glo -20glo = -15glo + 15glo Combine like terms: -15glo + 15glo = 0 -20glo = 0 Divide each side by '-20'. glo = 0.0 Simplifying glo = 0.0 The solution to this equation could not be determined.
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