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Simplifying log(4)(3x + 4) = -2 Reorder the terms: glo * 4(4 + 3x) = -2 Reorder the terms for easier multiplication: 4glo(4 + 3x) = -2 (4 * 4glo + 3x * 4glo) = -2 (16glo + 12glox) = -2 Solving 16glo + 12glox = -2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 2 + 16glo + 12glox = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 16glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 8glo + 6glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 8glo + 6glox)' equal to zero and attempt to solve: Simplifying 1 + 8glo + 6glox = 0 Solving 1 + 8glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8glo + -1 + 6glox = 0 + -1 Reorder the terms: 1 + -1 + 8glo + 6glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8glo + 6glox = 0 + -1 8glo + 6glox = 0 + -1 Combine like terms: 0 + -1 = -1 8glo + 6glox = -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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