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