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Simplifying log[4](2x + 6) + -1log[4](x + -1) = 1 Reorder the terms: glo * 4(6 + 2x) + -1log[4](x + -1) = 1 Reorder the terms for easier multiplication: 4glo(6 + 2x) + -1log[4](x + -1) = 1 (6 * 4glo + 2x * 4glo) + -1log[4](x + -1) = 1 (24glo + 8glox) + -1log[4](x + -1) = 1 Reorder the terms: 24glo + 8glox + -1glo * 4(-1 + x) = 1 Reorder the terms for easier multiplication: 24glo + 8glox + -1 * 4glo(-1 + x) = 1 Multiply -1 * 4 24glo + 8glox + -4glo(-1 + x) = 1 24glo + 8glox + (-1 * -4glo + x * -4glo) = 1 24glo + 8glox + (4glo + -4glox) = 1 Reorder the terms: 24glo + 4glo + 8glox + -4glox = 1 Combine like terms: 24glo + 4glo = 28glo 28glo + 8glox + -4glox = 1 Combine like terms: 8glox + -4glox = 4glox 28glo + 4glox = 1 Solving 28glo + 4glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 28glo + 4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 28glo + 4glox = 0 The solution to this equation could not be determined.
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