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Simplifying log(4)(3x + -5) = log(4) * 11 + log(4) * 2 Reorder the terms: glo * 4(-5 + 3x) = log(4) * 11 + log(4) * 2 Reorder the terms for easier multiplication: 4glo(-5 + 3x) = log(4) * 11 + log(4) * 2 (-5 * 4glo + 3x * 4glo) = log(4) * 11 + log(4) * 2 (-20glo + 12glox) = log(4) * 11 + log(4) * 2 Reorder the terms for easier multiplication: -20glo + 12glox = 4 * 11glo + log(4) * 2 Multiply 4 * 11 -20glo + 12glox = 44glo + log(4) * 2 Reorder the terms for easier multiplication: -20glo + 12glox = 44glo + 4 * 2glo Multiply 4 * 2 -20glo + 12glox = 44glo + 8glo Combine like terms: 44glo + 8glo = 52glo -20glo + 12glox = 52glo Solving -20glo + 12glox = 52glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-52glo' to each side of the equation. -20glo + -52glo + 12glox = 52glo + -52glo Combine like terms: -20glo + -52glo = -72glo -72glo + 12glox = 52glo + -52glo Combine like terms: 52glo + -52glo = 0 -72glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '12glo'. 12glo(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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