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Simplifying log[4](2x + 4) + -3 = log[4](3) Reorder the terms: glo * 4(4 + 2x) + -3 = log[4](3) Reorder the terms for easier multiplication: 4glo(4 + 2x) + -3 = log[4](3) (4 * 4glo + 2x * 4glo) + -3 = log[4](3) (16glo + 8glox) + -3 = log[4](3) Reorder the terms: -3 + 16glo + 8glox = log[4](3) Reorder the terms for easier multiplication: -3 + 16glo + 8glox = 4 * 3glo Multiply 4 * 3 -3 + 16glo + 8glox = 12glo Solving -3 + 16glo + 8glox = 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. -3 + 16glo + -12glo + 8glox = 12glo + -12glo Combine like terms: 16glo + -12glo = 4glo -3 + 4glo + 8glox = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -3 + 4glo + 8glox = 0 Add '3' to each side of the equation. -3 + 4glo + 3 + 8glox = 0 + 3 Reorder the terms: -3 + 3 + 4glo + 8glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4glo + 8glox = 0 + 3 4glo + 8glox = 0 + 3 Combine like terms: 0 + 3 = 3 4glo + 8glox = 3 Reorder the terms: -3 + 4glo + 8glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 4glo + 8glox = 0 The solution to this equation could not be determined.
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