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Simplifying 2Logx = Log(6x + 90) + 1 Reorder the terms: 2goxL = goL(90 + 6x) + 1 2goxL = (90 * goL + 6x * goL) + 1 2goxL = (90goL + 6goxL) + 1 Reorder the terms: 2goxL = 1 + 90goL + 6goxL Solving 2goxL = 1 + 90goL + 6goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-90goL' to each side of the equation. -90goL + 2goxL = 1 + 90goL + -90goL + 6goxL Combine like terms: 90goL + -90goL = 0 -90goL + 2goxL = 1 + 0 + 6goxL -90goL + 2goxL = 1 + 6goxL Add '-6goxL' to each side of the equation. -90goL + 2goxL + -6goxL = 1 + 6goxL + -6goxL Combine like terms: 2goxL + -6goxL = -4goxL -90goL + -4goxL = 1 + 6goxL + -6goxL Combine like terms: 6goxL + -6goxL = 0 -90goL + -4goxL = 1 + 0 -90goL + -4goxL = 1 Reorder the terms: -1 + -90goL + -4goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -90goL + -4goxL = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 90goL + 4goxL) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 90goL + 4goxL)' equal to zero and attempt to solve: Simplifying 1 + 90goL + 4goxL = 0 Solving 1 + 90goL + 4goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 90goL + -1 + 4goxL = 0 + -1 Reorder the terms: 1 + -1 + 90goL + 4goxL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 90goL + 4goxL = 0 + -1 90goL + 4goxL = 0 + -1 Combine like terms: 0 + -1 = -1 90goL + 4goxL = -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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