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Simplifying log[4](x + 6) = 2log * x Reorder the terms: glo * 4(6 + x) = 2log * x Reorder the terms for easier multiplication: 4glo(6 + x) = 2log * x (6 * 4glo + x * 4glo) = 2log * x (24glo + 4glox) = 2log * x Multiply glo * x 24glo + 4glox = 2glox Solving 24glo + 4glox = 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glox' to each side of the equation. 24glo + 4glox + -2glox = 2glox + -2glox Combine like terms: 4glox + -2glox = 2glox 24glo + 2glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 24glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(12 + x) = 0 Ignore the factor 2.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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Add '-1x' to each side of the equation. x + -1x = -12 + -1x Combine like terms: x + -1x = 0 0 = -12 + -1x Simplifying 0 = -12 + -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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