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Simplifying 2log[4](x + -3) + log[4](3x + -18) = 1 Reorder the terms: 2glo * 4(-3 + x) + log[4](3x + -18) = 1 Reorder the terms for easier multiplication: 2 * 4glo(-3 + x) + log[4](3x + -18) = 1 Multiply 2 * 4 8glo(-3 + x) + log[4](3x + -18) = 1 (-3 * 8glo + x * 8glo) + log[4](3x + -18) = 1 (-24glo + 8glox) + log[4](3x + -18) = 1 Reorder the terms: -24glo + 8glox + glo * 4(-18 + 3x) = 1 Reorder the terms for easier multiplication: -24glo + 8glox + 4glo(-18 + 3x) = 1 -24glo + 8glox + (-18 * 4glo + 3x * 4glo) = 1 -24glo + 8glox + (-72glo + 12glox) = 1 Reorder the terms: -24glo + -72glo + 8glox + 12glox = 1 Combine like terms: -24glo + -72glo = -96glo -96glo + 8glox + 12glox = 1 Combine like terms: 8glox + 12glox = 20glox -96glo + 20glox = 1 Solving -96glo + 20glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -96glo + 20glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -96glo + 20glox = 0 The solution to this equation could not be determined.
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