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Simplifying 2log(4) = log(4) + log(3 + -1x) Reorder the terms for easier multiplication: 2 * 4glo = log(4) + log(3 + -1x) Multiply 2 * 4 8glo = log(4) + log(3 + -1x) Reorder the terms for easier multiplication: 8glo = 4glo + log(3 + -1x) 8glo = 4glo + (3 * glo + -1x * glo) 8glo = 4glo + (3glo + -1glox) Combine like terms: 4glo + 3glo = 7glo 8glo = 7glo + -1glox Solving 8glo = 7glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glo' to each side of the equation. 8glo + -7glo = 7glo + -7glo + -1glox Combine like terms: 8glo + -7glo = 1glo 1glo = 7glo + -7glo + -1glox Combine like terms: 7glo + -7glo = 0 1glo = 0 + -1glox 1glo = -1glox Add 'glox' to each side of the equation. 1glo + glox = -1glox + glox Combine like terms: -1glox + glox = 0 1glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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