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Simplifying 6Log(3x) + 6Log(x + -1) = 3 Remove parenthesis around (3x) 6goL * 3x + 6Log(x + -1) = 3 Reorder the terms for easier multiplication: 6 * 3goL * x + 6Log(x + -1) = 3 Multiply 6 * 3 18goL * x + 6Log(x + -1) = 3 Multiply goL * x 18goxL + 6Log(x + -1) = 3 Reorder the terms: 18goxL + 6goL(-1 + x) = 3 18goxL + (-1 * 6goL + x * 6goL) = 3 18goxL + (-6goL + 6goxL) = 3 Reorder the terms: -6goL + 18goxL + 6goxL = 3 Combine like terms: 18goxL + 6goxL = 24goxL -6goL + 24goxL = 3 Solving -6goL + 24goxL = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + -6goL + 24goxL = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -2goL + 8goxL) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2goL + 8goxL)' equal to zero and attempt to solve: Simplifying -1 + -2goL + 8goxL = 0 Solving -1 + -2goL + 8goxL = 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 + 8goxL = 0 + 1 Reorder the terms: -1 + 1 + -2goL + 8goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2goL + 8goxL = 0 + 1 -2goL + 8goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -2goL + 8goxL = 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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