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Simplifying log[2](4x + 1) + -1log[2](3x + -4) = 1 Reorder the terms: glo * 2(1 + 4x) + -1log[2](3x + -4) = 1 Reorder the terms for easier multiplication: 2glo(1 + 4x) + -1log[2](3x + -4) = 1 (1 * 2glo + 4x * 2glo) + -1log[2](3x + -4) = 1 (2glo + 8glox) + -1log[2](3x + -4) = 1 Reorder the terms: 2glo + 8glox + -1glo * 2(-4 + 3x) = 1 Reorder the terms for easier multiplication: 2glo + 8glox + -1 * 2glo(-4 + 3x) = 1 Multiply -1 * 2 2glo + 8glox + -2glo(-4 + 3x) = 1 2glo + 8glox + (-4 * -2glo + 3x * -2glo) = 1 2glo + 8glox + (8glo + -6glox) = 1 Reorder the terms: 2glo + 8glo + 8glox + -6glox = 1 Combine like terms: 2glo + 8glo = 10glo 10glo + 8glox + -6glox = 1 Combine like terms: 8glox + -6glox = 2glox 10glo + 2glox = 1 Solving 10glo + 2glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 10glo + 2glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 10glo + 2glox = 0 The solution to this equation could not be determined.
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