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Simplifying log[4](7x + 6) + -1log[4](3x + -11) = 1 Reorder the terms: glo * 4(6 + 7x) + -1log[4](3x + -11) = 1 Reorder the terms for easier multiplication: 4glo(6 + 7x) + -1log[4](3x + -11) = 1 (6 * 4glo + 7x * 4glo) + -1log[4](3x + -11) = 1 (24glo + 28glox) + -1log[4](3x + -11) = 1 Reorder the terms: 24glo + 28glox + -1glo * 4(-11 + 3x) = 1 Reorder the terms for easier multiplication: 24glo + 28glox + -1 * 4glo(-11 + 3x) = 1 Multiply -1 * 4 24glo + 28glox + -4glo(-11 + 3x) = 1 24glo + 28glox + (-11 * -4glo + 3x * -4glo) = 1 24glo + 28glox + (44glo + -12glox) = 1 Reorder the terms: 24glo + 44glo + 28glox + -12glox = 1 Combine like terms: 24glo + 44glo = 68glo 68glo + 28glox + -12glox = 1 Combine like terms: 28glox + -12glox = 16glox 68glo + 16glox = 1 Solving 68glo + 16glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 68glo + 16glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 68glo + 16glox = 0 The solution to this equation could not be determined.
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