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