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Simplifying Log(4) * 5 + -1log(4) * 3x = 2 Reorder the terms for easier multiplication: 4 * 5goL + -1log(4) * 3x = 2 Multiply 4 * 5 20goL + -1log(4) * 3x = 2 Reorder the terms for easier multiplication: 20goL + -1 * 4 * 3glo * x = 2 Multiply -1 * 4 20goL + -4 * 3glo * x = 2 Multiply -4 * 3 20goL + -12glo * x = 2 Multiply glo * x 20goL + -12glox = 2 Reorder the terms: -12glox + 20goL = 2 Solving -12glox + 20goL = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -12glox + 20goL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -12glox + 20goL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -6glox + 10goL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -6glox + 10goL)' equal to zero and attempt to solve: Simplifying -1 + -6glox + 10goL = 0 Solving -1 + -6glox + 10goL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6glox + 1 + 10goL = 0 + 1 Reorder the terms: -1 + 1 + -6glox + 10goL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6glox + 10goL = 0 + 1 -6glox + 10goL = 0 + 1 Combine like terms: 0 + 1 = 1 -6glox + 10goL = 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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