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Simplifying log(x + 13) + -1log(2) = log(4x + 4) Reorder the terms: glo(13 + x) + -1log(2) = log(4x + 4) (13 * glo + x * glo) + -1log(2) = log(4x + 4) (13glo + glox) + -1log(2) = log(4x + 4) Reorder the terms for easier multiplication: 13glo + glox + -1 * 2glo = log(4x + 4) Multiply -1 * 2 13glo + glox + -2glo = log(4x + 4) Reorder the terms: 13glo + -2glo + glox = log(4x + 4) Combine like terms: 13glo + -2glo = 11glo 11glo + glox = log(4x + 4) Reorder the terms: 11glo + glox = glo(4 + 4x) 11glo + glox = (4 * glo + 4x * glo) 11glo + glox = (4glo + 4glox) Solving 11glo + glox = 4glo + 4glox 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. 11glo + -4glo + glox = 4glo + -4glo + 4glox Combine like terms: 11glo + -4glo = 7glo 7glo + glox = 4glo + -4glo + 4glox Combine like terms: 4glo + -4glo = 0 7glo + glox = 0 + 4glox 7glo + glox = 4glox Add '-4glox' to each side of the equation. 7glo + glox + -4glox = 4glox + -4glox Combine like terms: glox + -4glox = -3glox 7glo + -3glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 7glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(7 + -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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 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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