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Simplifying log[5](x + -18) + -1log[5] * x = log[5] * 7 Reorder the terms: glo * 5(-18 + x) + -1log[5] * x = log[5] * 7 Reorder the terms for easier multiplication: 5glo(-18 + x) + -1log[5] * x = log[5] * 7 (-18 * 5glo + x * 5glo) + -1log[5] * x = log[5] * 7 (-90glo + 5glox) + -1log[5] * x = log[5] * 7 Reorder the terms for easier multiplication: -90glo + 5glox + -1 * 5glo * x = log[5] * 7 Multiply -1 * 5 -90glo + 5glox + -5glo * x = log[5] * 7 Multiply glo * x -90glo + 5glox + -5glox = log[5] * 7 Combine like terms: 5glox + -5glox = 0 -90glo + 0 = log[5] * 7 -90glo = log[5] * 7 Reorder the terms for easier multiplication: -90glo = 5 * 7glo Multiply 5 * 7 -90glo = 35glo Solving -90glo = 35glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-35glo' to each side of the equation. -90glo + -35glo = 35glo + -35glo Combine like terms: -90glo + -35glo = -125glo -125glo = 35glo + -35glo Combine like terms: 35glo + -35glo = 0 -125glo = 0 Divide each side by '-125'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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