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Simplifying 3log[4](2x + -5) = 6 Reorder the terms: 3glo * 4(-5 + 2x) = 6 Reorder the terms for easier multiplication: 3 * 4glo(-5 + 2x) = 6 Multiply 3 * 4 12glo(-5 + 2x) = 6 (-5 * 12glo + 2x * 12glo) = 6 (-60glo + 24glox) = 6 Solving -60glo + 24glox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + -60glo + 24glox = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -60glo + 24glox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -10glo + 4glox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -10glo + 4glox)' equal to zero and attempt to solve: Simplifying -1 + -10glo + 4glox = 0 Solving -1 + -10glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -10glo + 1 + 4glox = 0 + 1 Reorder the terms: -1 + 1 + -10glo + 4glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10glo + 4glox = 0 + 1 -10glo + 4glox = 0 + 1 Combine like terms: 0 + 1 = 1 -10glo + 4glox = 1 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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