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Simplifying log[5](2x + -1) + log[5](x + 2) = 2 Reorder the terms: glo * 5(-1 + 2x) + log[5](x + 2) = 2 Reorder the terms for easier multiplication: 5glo(-1 + 2x) + log[5](x + 2) = 2 (-1 * 5glo + 2x * 5glo) + log[5](x + 2) = 2 (-5glo + 10glox) + log[5](x + 2) = 2 Reorder the terms: -5glo + 10glox + glo * 5(2 + x) = 2 Reorder the terms for easier multiplication: -5glo + 10glox + 5glo(2 + x) = 2 -5glo + 10glox + (2 * 5glo + x * 5glo) = 2 -5glo + 10glox + (10glo + 5glox) = 2 Reorder the terms: -5glo + 10glo + 10glox + 5glox = 2 Combine like terms: -5glo + 10glo = 5glo 5glo + 10glox + 5glox = 2 Combine like terms: 10glox + 5glox = 15glox 5glo + 15glox = 2 Solving 5glo + 15glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 5glo + 15glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5glo + 15glox = 0 The solution to this equation could not be determined.
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