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Simplifying log[2](x + 5) + -1log[2](2x + -1) = 5 Reorder the terms: glo * 2(5 + x) + -1log[2](2x + -1) = 5 Reorder the terms for easier multiplication: 2glo(5 + x) + -1log[2](2x + -1) = 5 (5 * 2glo + x * 2glo) + -1log[2](2x + -1) = 5 (10glo + 2glox) + -1log[2](2x + -1) = 5 Reorder the terms: 10glo + 2glox + -1glo * 2(-1 + 2x) = 5 Reorder the terms for easier multiplication: 10glo + 2glox + -1 * 2glo(-1 + 2x) = 5 Multiply -1 * 2 10glo + 2glox + -2glo(-1 + 2x) = 5 10glo + 2glox + (-1 * -2glo + 2x * -2glo) = 5 10glo + 2glox + (2glo + -4glox) = 5 Reorder the terms: 10glo + 2glo + 2glox + -4glox = 5 Combine like terms: 10glo + 2glo = 12glo 12glo + 2glox + -4glox = 5 Combine like terms: 2glox + -4glox = -2glox 12glo + -2glox = 5 Solving 12glo + -2glox = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -5 + 12glo + -2glox = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 12glo + -2glox = 0 The solution to this equation could not be determined.
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