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Simplifying log(3x) + log(x + 4) = log(x) Remove parenthesis around (3x) glo * 3x + log(x + 4) = log(x) Reorder the terms for easier multiplication: 3glo * x + log(x + 4) = log(x) Multiply glo * x 3glox + log(x + 4) = log(x) Reorder the terms: 3glox + glo(4 + x) = log(x) 3glox + (4 * glo + x * glo) = log(x) 3glox + (4glo + glox) = log(x) Reorder the terms: 4glo + 3glox + glox = log(x) Combine like terms: 3glox + glox = 4glox 4glo + 4glox = log(x) Multiply glo * x 4glo + 4glox = glox Solving 4glo + 4glox = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. 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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