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Simplifying 800 = 325log(4x + 2) Reorder the terms: 800 = 325glo(2 + 4x) 800 = (2 * 325glo + 4x * 325glo) 800 = (650glo + 1300glox) Solving 800 = 650glo + 1300glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-650glo' to each side of the equation. 800 + -650glo = 650glo + -650glo + 1300glox Combine like terms: 650glo + -650glo = 0 800 + -650glo = 0 + 1300glox 800 + -650glo = 1300glox Add '-1300glox' to each side of the equation. 800 + -650glo + -1300glox = 1300glox + -1300glox Combine like terms: 1300glox + -1300glox = 0 800 + -650glo + -1300glox = 0 Add '-800' to each side of the equation. 800 + -650glo + -800 + -1300glox = 0 + -800 Reorder the terms: 800 + -800 + -650glo + -1300glox = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -650glo + -1300glox = 0 + -800 -650glo + -1300glox = 0 + -800 Combine like terms: 0 + -800 = -800 -650glo + -1300glox = -800 Reorder the terms: 800 + -650glo + -1300glox = -800 + 800 Combine like terms: -800 + 800 = 0 800 + -650glo + -1300glox = 0 Factor out the Greatest Common Factor (GCF), '50'. 50(16 + -13glo + -26glox) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(16 + -13glo + -26glox)' equal to zero and attempt to solve: Simplifying 16 + -13glo + -26glox = 0 Solving 16 + -13glo + -26glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -13glo + -16 + -26glox = 0 + -16 Reorder the terms: 16 + -16 + -13glo + -26glox = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -13glo + -26glox = 0 + -16 -13glo + -26glox = 0 + -16 Combine like terms: 0 + -16 = -16 -13glo + -26glox = -16 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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