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Simplifying log(3)(4x + -1) = -1logC(3)(x + -4) + 4 Reorder the terms: glo * 3(-1 + 4x) = -1logC(3)(x + -4) + 4 Reorder the terms for easier multiplication: 3glo(-1 + 4x) = -1logC(3)(x + -4) + 4 (-1 * 3glo + 4x * 3glo) = -1logC(3)(x + -4) + 4 (-3glo + 12glox) = -1logC(3)(x + -4) + 4 Reorder the terms: -3glo + 12glox = -1gloC * 3(-4 + x) + 4 Reorder the terms for easier multiplication: -3glo + 12glox = -1 * 3gloC(-4 + x) + 4 Multiply -1 * 3 -3glo + 12glox = -3gloC(-4 + x) + 4 -3glo + 12glox = (-4 * -3gloC + x * -3gloC) + 4 -3glo + 12glox = (12gloC + -3gloxC) + 4 Reorder the terms: -3glo + 12glox = 4 + 12gloC + -3gloxC Solving -3glo + 12glox = 4 + 12gloC + -3gloxC Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12gloC' to each side of the equation. -3glo + -12gloC + 12glox = 4 + 12gloC + -12gloC + -3gloxC Combine like terms: 12gloC + -12gloC = 0 -3glo + -12gloC + 12glox = 4 + 0 + -3gloxC -3glo + -12gloC + 12glox = 4 + -3gloxC Add '3gloxC' to each side of the equation. -3glo + -12gloC + 12glox + 3gloxC = 4 + -3gloxC + 3gloxC Combine like terms: -3gloxC + 3gloxC = 0 -3glo + -12gloC + 12glox + 3gloxC = 4 + 0 -3glo + -12gloC + 12glox + 3gloxC = 4 Reorder the terms: -4 + -3glo + -12gloC + 12glox + 3gloxC = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -3glo + -12gloC + 12glox + 3gloxC = 0 The solution to this equation could not be determined.
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