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Simplifying log(-4x) + -1log(2) = log(8) Remove parenthesis around (-4x) glo * -4x + -1log(2) = log(8) Reorder the terms for easier multiplication: -4glo * x + -1log(2) = log(8) Multiply glo * x -4glox + -1log(2) = log(8) Reorder the terms for easier multiplication: -4glox + -1 * 2glo = log(8) Multiply -1 * 2 -4glox + -2glo = log(8) Reorder the terms: -2glo + -4glox = log(8) Reorder the terms for easier multiplication: -2glo + -4glox = 8glo Solving -2glo + -4glox = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. -2glo + -8glo + -4glox = 8glo + -8glo Combine like terms: -2glo + -8glo = -10glo -10glo + -4glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -10glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '-2glo'. -2glo(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x 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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