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Simplifying log(2t + 4) = log(13 + -3t) Reorder the terms: glo(4 + 2t) = log(13 + -3t) (4 * glo + 2t * glo) = log(13 + -3t) (4glo + 2glot) = log(13 + -3t) 4glo + 2glot = (13 * glo + -3t * glo) 4glo + 2glot = (13glo + -3glot) Solving 4glo + 2glot = 13glo + -3glot Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 4glo + -13glo + 2glot = 13glo + -13glo + -3glot Combine like terms: 4glo + -13glo = -9glo -9glo + 2glot = 13glo + -13glo + -3glot Combine like terms: 13glo + -13glo = 0 -9glo + 2glot = 0 + -3glot -9glo + 2glot = -3glot Add '3glot' to each side of the equation. -9glo + 2glot + 3glot = -3glot + 3glot Combine like terms: 2glot + 3glot = 5glot -9glo + 5glot = -3glot + 3glot Combine like terms: -3glot + 3glot = 0 -9glo + 5glot = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-9 + 5t) = 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 '(-9 + 5t)' equal to zero and attempt to solve: Simplifying -9 + 5t = 0 Solving -9 + 5t = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5t = 0 + 9 5t = 0 + 9 Combine like terms: 0 + 9 = 9 5t = 9 Add '-5t' to each side of the equation. 5t + -5t = 9 + -5t Combine like terms: 5t + -5t = 0 0 = 9 + -5t Simplifying 0 = 9 + -5t 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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