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Simplifying Log(2)(5x + 5) = 5 Reorder the terms: goL * 2(5 + 5x) = 5 Reorder the terms for easier multiplication: 2goL(5 + 5x) = 5 (5 * 2goL + 5x * 2goL) = 5 (10goL + 10goxL) = 5 Solving 10goL + 10goxL = 5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -5 + 10goL + 10goxL = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 10goL + 10goxL = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + 2goL + 2goxL) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + 2goL + 2goxL)' equal to zero and attempt to solve: Simplifying -1 + 2goL + 2goxL = 0 Solving -1 + 2goL + 2goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2goL + 1 + 2goxL = 0 + 1 Reorder the terms: -1 + 1 + 2goL + 2goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2goL + 2goxL = 0 + 1 2goL + 2goxL = 0 + 1 Combine like terms: 0 + 1 = 1 2goL + 2goxL = 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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