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Simplifying Log(8) * 4 + -1log(8)(5x + -10) = 2 Reorder the terms for easier multiplication: 8 * 4goL + -1log(8)(5x + -10) = 2 Multiply 8 * 4 32goL + -1log(8)(5x + -10) = 2 Reorder the terms: 32goL + -1glo * 8(-10 + 5x) = 2 Reorder the terms for easier multiplication: 32goL + -1 * 8glo(-10 + 5x) = 2 Multiply -1 * 8 32goL + -8glo(-10 + 5x) = 2 32goL + (-10 * -8glo + 5x * -8glo) = 2 32goL + (80glo + -40glox) = 2 Reorder the terms: 80glo + -40glox + 32goL = 2 Solving 80glo + -40glox + 32goL = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 80glo + -40glox + 32goL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 80glo + -40glox + 32goL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 40glo + -20glox + 16goL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 40glo + -20glox + 16goL)' equal to zero and attempt to solve: Simplifying -1 + 40glo + -20glox + 16goL = 0 Solving -1 + 40glo + -20glox + 16goL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 40glo + -20glox + 1 + 16goL = 0 + 1 Reorder the terms: -1 + 1 + 40glo + -20glox + 16goL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 40glo + -20glox + 16goL = 0 + 1 40glo + -20glox + 16goL = 0 + 1 Combine like terms: 0 + 1 = 1 40glo + -20glox + 16goL = 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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