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Simplifying log(3) + log(x + 4) = log(2x + 4) Reorder the terms for easier multiplication: 3glo + log(x + 4) = log(2x + 4) Reorder the terms: 3glo + glo(4 + x) = log(2x + 4) 3glo + (4 * glo + x * glo) = log(2x + 4) 3glo + (4glo + glox) = log(2x + 4) Combine like terms: 3glo + 4glo = 7glo 7glo + glox = log(2x + 4) Reorder the terms: 7glo + glox = glo(4 + 2x) 7glo + glox = (4 * glo + 2x * glo) 7glo + glox = (4glo + 2glox) Solving 7glo + glox = 4glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 7glo + -4glo + glox = 4glo + -4glo + 2glox Combine like terms: 7glo + -4glo = 3glo 3glo + glox = 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 3glo + glox = 0 + 2glox 3glo + glox = 2glox Add '-2glox' to each side of the equation. 3glo + glox + -2glox = 2glox + -2glox Combine like terms: glox + -2glox = -1glox 3glo + -1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 3glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(3 + -1x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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