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Simplifying 2log[4] * x = -1log[4] * 16 Reorder the terms for easier multiplication: 2 * 4glo * x = -1log[4] * 16 Multiply 2 * 4 8glo * x = -1log[4] * 16 Multiply glo * x 8glox = -1log[4] * 16 Reorder the terms for easier multiplication: 8glox = -1 * 4 * 16glo Multiply -1 * 4 8glox = -4 * 16glo Multiply -4 * 16 8glox = -64glo Solving 8glox = -64glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '64glo' to each side of the equation. 64glo + 8glox = -64glo + 64glo Combine like terms: -64glo + 64glo = 0 64glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(8 + x) = 0 Ignore the factor 8.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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