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Simplifying log[2](5x + -3) = log[10](x + -1) Reorder the terms: glo * 2(-3 + 5x) = log[10](x + -1) Reorder the terms for easier multiplication: 2glo(-3 + 5x) = log[10](x + -1) (-3 * 2glo + 5x * 2glo) = log[10](x + -1) (-6glo + 10glox) = log[10](x + -1) Reorder the terms: -6glo + 10glox = glo * 10(-1 + x) Reorder the terms for easier multiplication: -6glo + 10glox = 10glo(-1 + x) -6glo + 10glox = (-1 * 10glo + x * 10glo) -6glo + 10glox = (-10glo + 10glox) Add '-10glox' to each side of the equation. -6glo + 10glox + -10glox = -10glo + 10glox + -10glox Combine like terms: 10glox + -10glox = 0 -6glo + 0 = -10glo + 10glox + -10glox -6glo = -10glo + 10glox + -10glox Combine like terms: 10glox + -10glox = 0 -6glo = -10glo + 0 -6glo = -10glo Solving -6glo = -10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. -6glo + 10glo = -10glo + 10glo Combine like terms: -6glo + 10glo = 4glo 4glo = -10glo + 10glo Combine like terms: -10glo + 10glo = 0 4glo = 0 Divide each side by '4'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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