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Simplifying log[3](-9 + -5x) = 2 Reorder the terms for easier multiplication: 3glo(-9 + -5x) = 2 (-9 * 3glo + -5x * 3glo) = 2 (-27glo + -15glox) = 2 Solving -27glo + -15glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -27glo + -15glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -27glo + -15glox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 27glo + 15glox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 27glo + 15glox)' equal to zero and attempt to solve: Simplifying 2 + 27glo + 15glox = 0 Solving 2 + 27glo + 15glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 27glo + -2 + 15glox = 0 + -2 Reorder the terms: 2 + -2 + 27glo + 15glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 27glo + 15glox = 0 + -2 27glo + 15glox = 0 + -2 Combine like terms: 0 + -2 = -2 27glo + 15glox = -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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