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Simplifying log(5)(5x + -8) + -1log(4)(x + 2) = 1 Reorder the terms: glo * 5(-8 + 5x) + -1log(4)(x + 2) = 1 Reorder the terms for easier multiplication: 5glo(-8 + 5x) + -1log(4)(x + 2) = 1 (-8 * 5glo + 5x * 5glo) + -1log(4)(x + 2) = 1 (-40glo + 25glox) + -1log(4)(x + 2) = 1 Reorder the terms: -40glo + 25glox + -1glo * 4(2 + x) = 1 Reorder the terms for easier multiplication: -40glo + 25glox + -1 * 4glo(2 + x) = 1 Multiply -1 * 4 -40glo + 25glox + -4glo(2 + x) = 1 -40glo + 25glox + (2 * -4glo + x * -4glo) = 1 -40glo + 25glox + (-8glo + -4glox) = 1 Reorder the terms: -40glo + -8glo + 25glox + -4glox = 1 Combine like terms: -40glo + -8glo = -48glo -48glo + 25glox + -4glox = 1 Combine like terms: 25glox + -4glox = 21glox -48glo + 21glox = 1 Solving -48glo + 21glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -48glo + 21glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -48glo + 21glox = 0 The solution to this equation could not be determined.
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