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