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Simplifying log(4)(x + -2) = log(4) * 27 Reorder the terms: glo * 4(-2 + x) = log(4) * 27 Reorder the terms for easier multiplication: 4glo(-2 + x) = log(4) * 27 (-2 * 4glo + x * 4glo) = log(4) * 27 (-8glo + 4glox) = log(4) * 27 Reorder the terms for easier multiplication: -8glo + 4glox = 4 * 27glo Multiply 4 * 27 -8glo + 4glox = 108glo Solving -8glo + 4glox = 108glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-108glo' to each side of the equation. -8glo + -108glo + 4glox = 108glo + -108glo Combine like terms: -8glo + -108glo = -116glo -116glo + 4glox = 108glo + -108glo Combine like terms: 108glo + -108glo = 0 -116glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-29 + x) = 0 Ignore the factor 4.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 '(-29 + x)' equal to zero and attempt to solve: Simplifying -29 + x = 0 Solving -29 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + x = 0 + 29 x = 0 + 29 Combine like terms: 0 + 29 = 29 x = 29 Add '-1x' to each side of the equation. x + -1x = 29 + -1x Combine like terms: x + -1x = 0 0 = 29 + -1x Simplifying 0 = 29 + -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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