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Simplifying log(3)[-5 + -2x] = 4 Reorder the terms for easier multiplication: 3glo[-5 + -2x] = 4 [-5 * 3glo + -2x * 3glo] = 4 [-15glo + -6glox] = 4 Solving -15glo + -6glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -15glo + -6glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -15glo + -6glox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 15glo + 6glox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 15glo + 6glox)' equal to zero and attempt to solve: Simplifying 4 + 15glo + 6glox = 0 Solving 4 + 15glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 15glo + -4 + 6glox = 0 + -4 Reorder the terms: 4 + -4 + 15glo + 6glox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15glo + 6glox = 0 + -4 15glo + 6glox = 0 + -4 Combine like terms: 0 + -4 = -4 15glo + 6glox = -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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