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Simplifying log(x + -12) = 2 + log(x + -2) Reorder the terms: glo(-12 + x) = 2 + log(x + -2) (-12 * glo + x * glo) = 2 + log(x + -2) (-12glo + glox) = 2 + log(x + -2) Reorder the terms: -12glo + glox = 2 + glo(-2 + x) -12glo + glox = 2 + (-2 * glo + x * glo) -12glo + glox = 2 + (-2glo + glox) Add '-1glox' to each side of the equation. -12glo + glox + -1glox = 2 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 -12glo + 0 = 2 + -2glo + glox + -1glox -12glo = 2 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 -12glo = 2 + -2glo + 0 -12glo = 2 + -2glo Solving -12glo = 2 + -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. -12glo + 2glo = 2 + -2glo + 2glo Combine like terms: -12glo + 2glo = -10glo -10glo = 2 + -2glo + 2glo Combine like terms: -2glo + 2glo = 0 -10glo = 2 + 0 -10glo = 2 Divide each side by '-10lo'. g = -0.2l-1o-1 Simplifying g = -0.2l-1o-1
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