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Simplifying 0.5log = log(3 + -1x) 0.5glo = (3 * glo + -1x * glo) 0.5glo = (3glo + -1glox) Solving 0.5glo = 3glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. 0.5glo + -3glo = 3glo + -3glo + -1glox Combine like terms: 0.5glo + -3glo = -2.5glo -2.5glo = 3glo + -3glo + -1glox Combine like terms: 3glo + -3glo = 0 -2.5glo = 0 + -1glox -2.5glo = -1glox Add 'glox' to each side of the equation. -2.5glo + glox = -1glox + glox Combine like terms: -1glox + glox = 0 -2.5glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2.5 + 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 '(-2.5 + x)' equal to zero and attempt to solve: Simplifying -2.5 + x = 0 Solving -2.5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 0 + 2.5 x = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 x = 2.5 Add '-1x' to each side of the equation. x + -1x = 2.5 + -1x Combine like terms: x + -1x = 0 0 = 2.5 + -1x Simplifying 0 = 2.5 + -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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