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Simplifying log * 4x = log * 2 + log(x + 2) Reorder the terms for easier multiplication: 4glo * x = log * 2 + log(x + 2) Multiply glo * x 4glox = log * 2 + log(x + 2) Reorder the terms for easier multiplication: 4glox = 2glo + log(x + 2) Reorder the terms: 4glox = 2glo + glo(2 + x) 4glox = 2glo + (2 * glo + x * glo) 4glox = 2glo + (2glo + glox) Combine like terms: 2glo + 2glo = 4glo 4glox = 4glo + glox Solving 4glox = 4glo + glox 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. -4glo + 4glox = 4glo + -4glo + glox Combine like terms: 4glo + -4glo = 0 -4glo + 4glox = 0 + glox -4glo + 4glox = glox Add '-1glox' to each side of the equation. -4glo + 4glox + -1glox = glox + -1glox Combine like terms: 4glox + -1glox = 3glox -4glo + 3glox = glox + -1glox Combine like terms: glox + -1glox = 0 -4glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-4 + 3x) = 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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Add '-3x' to each side of the equation. 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 0 = 4 + -3x Simplifying 0 = 4 + -3x 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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