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Simplifying 4log(x + 4) + -1 = 7 Reorder the terms: 4glo(4 + x) + -1 = 7 (4 * 4glo + x * 4glo) + -1 = 7 (16glo + 4glox) + -1 = 7 Reorder the terms: -1 + 16glo + 4glox = 7 Solving -1 + 16glo + 4glox = 7 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 16glo + 1 + 4glox = 7 + 1 Reorder the terms: -1 + 1 + 16glo + 4glox = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 16glo + 4glox = 7 + 1 16glo + 4glox = 7 + 1 Combine like terms: 7 + 1 = 8 16glo + 4glox = 8 Reorder the terms: -8 + 16glo + 4glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 16glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + 4glo + glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + 4glo + glox)' equal to zero and attempt to solve: Simplifying -2 + 4glo + glox = 0 Solving -2 + 4glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + 4glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4glo + glox = 0 + 2 4glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 4glo + glox = 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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