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Simplifying log(x + -3) + log(x + -2) = log(2x + 24) Reorder the terms: glo(-3 + x) + log(x + -2) = log(2x + 24) (-3 * glo + x * glo) + log(x + -2) = log(2x + 24) (-3glo + glox) + log(x + -2) = log(2x + 24) Reorder the terms: -3glo + glox + glo(-2 + x) = log(2x + 24) -3glo + glox + (-2 * glo + x * glo) = log(2x + 24) -3glo + glox + (-2glo + glox) = log(2x + 24) Reorder the terms: -3glo + -2glo + glox + glox = log(2x + 24) Combine like terms: -3glo + -2glo = -5glo -5glo + glox + glox = log(2x + 24) Combine like terms: glox + glox = 2glox -5glo + 2glox = log(2x + 24) Reorder the terms: -5glo + 2glox = glo(24 + 2x) -5glo + 2glox = (24 * glo + 2x * glo) -5glo + 2glox = (24glo + 2glox) Add '-2glox' to each side of the equation. -5glo + 2glox + -2glox = 24glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -5glo + 0 = 24glo + 2glox + -2glox -5glo = 24glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -5glo = 24glo + 0 -5glo = 24glo Solving -5glo = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -5glo + -24glo = 24glo + -24glo Combine like terms: -5glo + -24glo = -29glo -29glo = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -29glo = 0 Divide each side by '-29'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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