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Simplifying 7log(2x + 4) = 14 Reorder the terms: 7glo(4 + 2x) = 14 (4 * 7glo + 2x * 7glo) = 14 (28glo + 14glox) = 14 Solving 28glo + 14glox = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -14 + 28glo + 14glox = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 28glo + 14glox = 0 Factor out the Greatest Common Factor (GCF), '14'. 14(-1 + 2glo + glox) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(-1 + 2glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 2glo + glox = 0 Solving -1 + 2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 2glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glo + glox = 0 + 1 2glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 2glo + glox = 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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