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