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Simplifying log(3)(-3 + -5x) = 4 Reorder the terms for easier multiplication: 3glo(-3 + -5x) = 4 (-3 * 3glo + -5x * 3glo) = 4 (-9glo + -15glox) = 4 Solving -9glo + -15glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -9glo + -15glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -9glo + -15glox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 9glo + 15glox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 9glo + 15glox)' equal to zero and attempt to solve: Simplifying 4 + 9glo + 15glox = 0 Solving 4 + 9glo + 15glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 9glo + -4 + 15glox = 0 + -4 Reorder the terms: 4 + -4 + 9glo + 15glox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9glo + 15glox = 0 + -4 9glo + 15glox = 0 + -4 Combine like terms: 0 + -4 = -4 9glo + 15glox = -4 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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