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Simplifying log(x + 12) = log(x) + log(x + 12) Reorder the terms: glo(12 + x) = log(x) + log(x + 12) (12 * glo + x * glo) = log(x) + log(x + 12) (12glo + glox) = log(x) + log(x + 12) Multiply glo * x 12glo + glox = glox + log(x + 12) Reorder the terms: 12glo + glox = glox + glo(12 + x) 12glo + glox = glox + (12 * glo + x * glo) 12glo + glox = glox + (12glo + glox) Reorder the terms: 12glo + glox = 12glo + glox + glox Combine like terms: glox + glox = 2glox 12glo + glox = 12glo + 2glox Add '-12glo' to each side of the equation. 12glo + -12glo + glox = 12glo + -12glo + 2glox Combine like terms: 12glo + -12glo = 0 0 + glox = 12glo + -12glo + 2glox glox = 12glo + -12glo + 2glox Combine like terms: 12glo + -12glo = 0 glox = 0 + 2glox glox = 2glox Solving glox = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. glox + -2glox = 2glox + -2glox Combine like terms: glox + -2glox = -1glox -1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -1glox = 0 Divide each side by '-1'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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