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Simplifying log(4)(6x + -4) = 4 Reorder the terms: glo * 4(-4 + 6x) = 4 Reorder the terms for easier multiplication: 4glo(-4 + 6x) = 4 (-4 * 4glo + 6x * 4glo) = 4 (-16glo + 24glox) = 4 Solving -16glo + 24glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -16glo + 24glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -16glo + 24glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -4glo + 6glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -4glo + 6glox)' equal to zero and attempt to solve: Simplifying -1 + -4glo + 6glox = 0 Solving -1 + -4glo + 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 + -4glo + 1 + 6glox = 0 + 1 Reorder the terms: -1 + 1 + -4glo + 6glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4glo + 6glox = 0 + 1 -4glo + 6glox = 0 + 1 Combine like terms: 0 + 1 = 1 -4glo + 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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