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Simplifying log(8)(4x + -9) = log(8)(3x) Reorder the terms: glo * 8(-9 + 4x) = log(8)(3x) Reorder the terms for easier multiplication: 8glo(-9 + 4x) = log(8)(3x) (-9 * 8glo + 4x * 8glo) = log(8)(3x) (-72glo + 32glox) = log(8)(3x) Remove parenthesis around (3x) -72glo + 32glox = glo * 8 * 3x Reorder the terms for easier multiplication: -72glo + 32glox = 8 * 3glo * x Multiply 8 * 3 -72glo + 32glox = 24glo * x Multiply glo * x -72glo + 32glox = 24glox Solving -72glo + 32glox = 24glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glox' to each side of the equation. -72glo + 32glox + -24glox = 24glox + -24glox Combine like terms: 32glox + -24glox = 8glox -72glo + 8glox = 24glox + -24glox Combine like terms: 24glox + -24glox = 0 -72glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(-9 + x) = 0 Ignore the factor 8.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -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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