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Simplifying Log[2](7x + 2) + -1log[2](x + -1) = 4 Reorder the terms: goL * 2(2 + 7x) + -1log[2](x + -1) = 4 Reorder the terms for easier multiplication: 2goL(2 + 7x) + -1log[2](x + -1) = 4 (2 * 2goL + 7x * 2goL) + -1log[2](x + -1) = 4 (4goL + 14goxL) + -1log[2](x + -1) = 4 Reorder the terms: 4goL + 14goxL + -1glo * 2(-1 + x) = 4 Reorder the terms for easier multiplication: 4goL + 14goxL + -1 * 2glo(-1 + x) = 4 Multiply -1 * 2 4goL + 14goxL + -2glo(-1 + x) = 4 4goL + 14goxL + (-1 * -2glo + x * -2glo) = 4 4goL + 14goxL + (2glo + -2glox) = 4 Reorder the terms: 2glo + -2glox + 4goL + 14goxL = 4 Solving 2glo + -2glox + 4goL + 14goxL = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + 2glo + -2glox + 4goL + 14goxL = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 2glo + -2glox + 4goL + 14goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + glo + -1glox + 2goL + 7goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + glo + -1glox + 2goL + 7goxL)' equal to zero and attempt to solve: Simplifying -2 + glo + -1glox + 2goL + 7goxL = 0 Solving -2 + glo + -1glox + 2goL + 7goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + glo + -1glox + 2goL + 2 + 7goxL = 0 + 2 Reorder the terms: -2 + 2 + glo + -1glox + 2goL + 7goxL = 0 + 2 Combine like terms: -2 + 2 = 0 0 + glo + -1glox + 2goL + 7goxL = 0 + 2 glo + -1glox + 2goL + 7goxL = 0 + 2 Combine like terms: 0 + 2 = 2 glo + -1glox + 2goL + 7goxL = 2 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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