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Simplifying log3(-2x + -3) = 2 Reorder the terms: g3lo(-3 + -2x) = 2 (-3 * g3lo + -2x * g3lo) = 2 (-3g3lo + -2g3lox) = 2 Solving -3g3lo + -2g3lox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -3g3lo + -2g3lox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3g3lo + -2g3lox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 3g3lo + 2g3lox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 3g3lo + 2g3lox)' equal to zero and attempt to solve: Simplifying 2 + 3g3lo + 2g3lox = 0 Solving 2 + 3g3lo + 2g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3g3lo + -2 + 2g3lox = 0 + -2 Reorder the terms: 2 + -2 + 3g3lo + 2g3lox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3g3lo + 2g3lox = 0 + -2 3g3lo + 2g3lox = 0 + -2 Combine like terms: 0 + -2 = -2 3g3lo + 2g3lox = -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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