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Simplifying 4log(x + -2) + 7 = 19 Reorder the terms: 4glo(-2 + x) + 7 = 19 (-2 * 4glo + x * 4glo) + 7 = 19 (-8glo + 4glox) + 7 = 19 Reorder the terms: 7 + -8glo + 4glox = 19 Solving 7 + -8glo + 4glox = 19 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -8glo + -7 + 4glox = 19 + -7 Reorder the terms: 7 + -7 + -8glo + 4glox = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -8glo + 4glox = 19 + -7 -8glo + 4glox = 19 + -7 Combine like terms: 19 + -7 = 12 -8glo + 4glox = 12 Reorder the terms: -12 + -8glo + 4glox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -8glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -2glo + glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -2glo + glox)' equal to zero and attempt to solve: Simplifying -3 + -2glo + glox = 0 Solving -3 + -2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2glo + 3 + glox = 0 + 3 Reorder the terms: -3 + 3 + -2glo + glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2glo + glox = 0 + 3 -2glo + glox = 0 + 3 Combine like terms: 0 + 3 = 3 -2glo + glox = 3 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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