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