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Simplifying Log[2](x + -4) + -1log[2](x + -3) = 8 Reorder the terms: goL * 2(-4 + x) + -1log[2](x + -3) = 8 Reorder the terms for easier multiplication: 2goL(-4 + x) + -1log[2](x + -3) = 8 (-4 * 2goL + x * 2goL) + -1log[2](x + -3) = 8 (-8goL + 2goxL) + -1log[2](x + -3) = 8 Reorder the terms: -8goL + 2goxL + -1glo * 2(-3 + x) = 8 Reorder the terms for easier multiplication: -8goL + 2goxL + -1 * 2glo(-3 + x) = 8 Multiply -1 * 2 -8goL + 2goxL + -2glo(-3 + x) = 8 -8goL + 2goxL + (-3 * -2glo + x * -2glo) = 8 -8goL + 2goxL + (6glo + -2glox) = 8 Reorder the terms: 6glo + -2glox + -8goL + 2goxL = 8 Solving 6glo + -2glox + -8goL + 2goxL = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + 6glo + -2glox + -8goL + 2goxL = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 6glo + -2glox + -8goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 3glo + -1glox + -4goL + goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 3glo + -1glox + -4goL + goxL)' equal to zero and attempt to solve: Simplifying -4 + 3glo + -1glox + -4goL + goxL = 0 Solving -4 + 3glo + -1glox + -4goL + goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3glo + -1glox + -4goL + 4 + goxL = 0 + 4 Reorder the terms: -4 + 4 + 3glo + -1glox + -4goL + goxL = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3glo + -1glox + -4goL + goxL = 0 + 4 3glo + -1glox + -4goL + goxL = 0 + 4 Combine like terms: 0 + 4 = 4 3glo + -1glox + -4goL + goxL = 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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