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