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Simplifying 2log(x + -3) = 1 + log(x) + log(2) + -1log(5) Reorder the terms: 2glo(-3 + x) = 1 + log(x) + log(2) + -1log(5) (-3 * 2glo + x * 2glo) = 1 + log(x) + log(2) + -1log(5) (-6glo + 2glox) = 1 + log(x) + log(2) + -1log(5) Multiply glo * x -6glo + 2glox = 1 + glox + log(2) + -1log(5) Reorder the terms for easier multiplication: -6glo + 2glox = 1 + glox + 2glo + -1log(5) Reorder the terms for easier multiplication: -6glo + 2glox = 1 + glox + 2glo + -1 * 5glo Multiply -1 * 5 -6glo + 2glox = 1 + glox + 2glo + -5glo Reorder the terms: -6glo + 2glox = 1 + 2glo + -5glo + glox Combine like terms: 2glo + -5glo = -3glo -6glo + 2glox = 1 + -3glo + glox Solving -6glo + 2glox = 1 + -3glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. -6glo + 3glo + 2glox = 1 + -3glo + 3glo + glox Combine like terms: -6glo + 3glo = -3glo -3glo + 2glox = 1 + -3glo + 3glo + glox Combine like terms: -3glo + 3glo = 0 -3glo + 2glox = 1 + 0 + glox -3glo + 2glox = 1 + glox Add '-1glox' to each side of the equation. -3glo + 2glox + -1glox = 1 + glox + -1glox Combine like terms: 2glox + -1glox = 1glox -3glo + 1glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + 1glox = 1 + 0 -3glo + 1glox = 1 Reorder the terms: -1 + -3glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -3glo + 1glox = 0 The solution to this equation could not be determined.
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