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Simplifying log(3x + -7) + log(x + 4) = log(4x + 2) Reorder the terms: glo(-7 + 3x) + log(x + 4) = log(4x + 2) (-7 * glo + 3x * glo) + log(x + 4) = log(4x + 2) (-7glo + 3glox) + log(x + 4) = log(4x + 2) Reorder the terms: -7glo + 3glox + glo(4 + x) = log(4x + 2) -7glo + 3glox + (4 * glo + x * glo) = log(4x + 2) -7glo + 3glox + (4glo + glox) = log(4x + 2) Reorder the terms: -7glo + 4glo + 3glox + glox = log(4x + 2) Combine like terms: -7glo + 4glo = -3glo -3glo + 3glox + glox = log(4x + 2) Combine like terms: 3glox + glox = 4glox -3glo + 4glox = log(4x + 2) Reorder the terms: -3glo + 4glox = glo(2 + 4x) -3glo + 4glox = (2 * glo + 4x * glo) -3glo + 4glox = (2glo + 4glox) Add '-4glox' to each side of the equation. -3glo + 4glox + -4glox = 2glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -3glo + 0 = 2glo + 4glox + -4glox -3glo = 2glo + 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -3glo = 2glo + 0 -3glo = 2glo Solving -3glo = 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. -3glo + -2glo = 2glo + -2glo Combine like terms: -3glo + -2glo = -5glo -5glo = 2glo + -2glo Combine like terms: 2glo + -2glo = 0 -5glo = 0 Divide each side by '-5'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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