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Simplifying log[2](-3 + -5x) = 2 Reorder the terms for easier multiplication: 2glo(-3 + -5x) = 2 (-3 * 2glo + -5x * 2glo) = 2 (-6glo + -10glox) = 2 Solving -6glo + -10glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -6glo + -10glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -6glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(1 + 3glo + 5glox) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(1 + 3glo + 5glox)' equal to zero and attempt to solve: Simplifying 1 + 3glo + 5glox = 0 Solving 1 + 3glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3glo + -1 + 5glox = 0 + -1 Reorder the terms: 1 + -1 + 3glo + 5glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3glo + 5glox = 0 + -1 3glo + 5glox = 0 + -1 Combine like terms: 0 + -1 = -1 3glo + 5glox = -1 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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