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Simplifying log(2) + log(11 + -1x2) = 2log(5 + -2x) Reorder the terms for easier multiplication: 2glo + log(11 + -1x2) = 2log(5 + -2x) 2glo + (11 * glo + -1x2 * glo) = 2log(5 + -2x) 2glo + (11glo + -1glox2) = 2log(5 + -2x) Combine like terms: 2glo + 11glo = 13glo 13glo + -1glox2 = 2log(5 + -2x) 13glo + -1glox2 = (5 * 2glo + -2x * 2glo) 13glo + -1glox2 = (10glo + -4glox) Solving 13glo + -1glox2 = 10glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 13glo + -10glo + -1glox2 = 10glo + -10glo + -4glox Combine like terms: 13glo + -10glo = 3glo 3glo + -1glox2 = 10glo + -10glo + -4glox Combine like terms: 10glo + -10glo = 0 3glo + -1glox2 = 0 + -4glox 3glo + -1glox2 = -4glox Add '4glox' to each side of the equation. 3glo + 4glox + -1glox2 = -4glox + 4glox Combine like terms: -4glox + 4glox = 0 3glo + 4glox + -1glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(3 + 4x + -1x2) = 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 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying 3 + 4x + -1x2 = 0 Solving 3 + 4x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4x + -3 + -1x2 = 0 + -3 Reorder the terms: 3 + -3 + 4x + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x + -1x2 = 0 + -3 4x + -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 4x + -1x2 = -3 Add '-4x' to each side of the equation. 4x + -4x + -1x2 = -3 + -4x Combine like terms: 4x + -4x = 0 0 + -1x2 = -3 + -4x -1x2 = -3 + -4x Add 'x2' to each side of the equation. -1x2 + x2 = -3 + -4x + x2 Combine like terms: -1x2 + x2 = 0 0 = -3 + -4x + x2 Simplifying 0 = -3 + -4x + x2 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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