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Simplifying log(4t + -2) = log(-5 + 5) Reorder the terms: glo(-2 + 4t) = log(-5 + 5) (-2 * glo + 4t * glo) = log(-5 + 5) (-2glo + 4glot) = log(-5 + 5) Combine like terms: -5 + 5 = 0 -2glo + 4glot = glo(0) Reorder the terms for easier multiplication: -2glo + 4glot = 0glo Anything times zero is zero. -2glo + 4glot = 0glo Solving -2glo + 4glot = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-1 + 2t) = 0 Ignore the factor 2.Subproblem 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 + 2t)' equal to zero and attempt to solve: Simplifying -1 + 2t = 0 Solving -1 + 2t = 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 + 2t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 0 + 1 2t = 0 + 1 Combine like terms: 0 + 1 = 1 2t = 1 Add '-2t' to each side of the equation. 2t + -2t = 1 + -2t Combine like terms: 2t + -2t = 0 0 = 1 + -2t Simplifying 0 = 1 + -2t 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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