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Simplifying Log[3](-7 + -4x) = 4 Reorder the terms for easier multiplication: 3goL(-7 + -4x) = 4 (-7 * 3goL + -4x * 3goL) = 4 (-21goL + -12goxL) = 4 Solving -21goL + -12goxL = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -21goL + -12goxL = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -21goL + -12goxL = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 21goL + 12goxL) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 21goL + 12goxL)' equal to zero and attempt to solve: Simplifying 4 + 21goL + 12goxL = 0 Solving 4 + 21goL + 12goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 21goL + -4 + 12goxL = 0 + -4 Reorder the terms: 4 + -4 + 21goL + 12goxL = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 21goL + 12goxL = 0 + -4 21goL + 12goxL = 0 + -4 Combine like terms: 0 + -4 = -4 21goL + 12goxL = -4 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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