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Simplifying 2log(4)(x + 1) = log(4)(11 + -1x) Reorder the terms: 2glo * 4(1 + x) = log(4)(11 + -1x) Reorder the terms for easier multiplication: 2 * 4glo(1 + x) = log(4)(11 + -1x) Multiply 2 * 4 8glo(1 + x) = log(4)(11 + -1x) (1 * 8glo + x * 8glo) = log(4)(11 + -1x) (8glo + 8glox) = log(4)(11 + -1x) Reorder the terms for easier multiplication: 8glo + 8glox = 4glo(11 + -1x) 8glo + 8glox = (11 * 4glo + -1x * 4glo) 8glo + 8glox = (44glo + -4glox) Solving 8glo + 8glox = 44glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-44glo' to each side of the equation. 8glo + -44glo + 8glox = 44glo + -44glo + -4glox Combine like terms: 8glo + -44glo = -36glo -36glo + 8glox = 44glo + -44glo + -4glox Combine like terms: 44glo + -44glo = 0 -36glo + 8glox = 0 + -4glox -36glo + 8glox = -4glox Add '4glox' to each side of the equation. -36glo + 8glox + 4glox = -4glox + 4glox Combine like terms: 8glox + 4glox = 12glox -36glo + 12glox = -4glox + 4glox Combine like terms: -4glox + 4glox = 0 -36glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-3 + x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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