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Simplifying log[2](9x + 1) + log[5](19x + -8) = 9 Reorder the terms: glo * 2(1 + 9x) + log[5](19x + -8) = 9 Reorder the terms for easier multiplication: 2glo(1 + 9x) + log[5](19x + -8) = 9 (1 * 2glo + 9x * 2glo) + log[5](19x + -8) = 9 (2glo + 18glox) + log[5](19x + -8) = 9 Reorder the terms: 2glo + 18glox + glo * 5(-8 + 19x) = 9 Reorder the terms for easier multiplication: 2glo + 18glox + 5glo(-8 + 19x) = 9 2glo + 18glox + (-8 * 5glo + 19x * 5glo) = 9 2glo + 18glox + (-40glo + 95glox) = 9 Reorder the terms: 2glo + -40glo + 18glox + 95glox = 9 Combine like terms: 2glo + -40glo = -38glo -38glo + 18glox + 95glox = 9 Combine like terms: 18glox + 95glox = 113glox -38glo + 113glox = 9 Solving -38glo + 113glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -9 + -38glo + 113glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -38glo + 113glox = 0 The solution to this equation could not be determined.
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