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