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Simplifying Log(2)(x + -3) + -1log(2)(2x + 1) = -1log(2)(4) Reorder the terms: goL * 2(-3 + x) + -1log(2)(2x + 1) = -1log(2)(4) Reorder the terms for easier multiplication: 2goL(-3 + x) + -1log(2)(2x + 1) = -1log(2)(4) (-3 * 2goL + x * 2goL) + -1log(2)(2x + 1) = -1log(2)(4) (-6goL + 2goxL) + -1log(2)(2x + 1) = -1log(2)(4) Reorder the terms: -6goL + 2goxL + -1glo * 2(1 + 2x) = -1log(2)(4) Reorder the terms for easier multiplication: -6goL + 2goxL + -1 * 2glo(1 + 2x) = -1log(2)(4) Multiply -1 * 2 -6goL + 2goxL + -2glo(1 + 2x) = -1log(2)(4) -6goL + 2goxL + (1 * -2glo + 2x * -2glo) = -1log(2)(4) -6goL + 2goxL + (-2glo + -4glox) = -1log(2)(4) Reorder the terms: -2glo + -4glox + -6goL + 2goxL = -1log(2)(4) Reorder the terms for easier multiplication: -2glo + -4glox + -6goL + 2goxL = -1 * 2 * 4glo Multiply -1 * 2 -2glo + -4glox + -6goL + 2goxL = -2 * 4glo Multiply -2 * 4 -2glo + -4glox + -6goL + 2goxL = -8glo Solving -2glo + -4glox + -6goL + 2goxL = -8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. -2glo + -4glox + -6goL + 8glo + 2goxL = -8glo + 8glo Reorder the terms: -2glo + 8glo + -4glox + -6goL + 2goxL = -8glo + 8glo Combine like terms: -2glo + 8glo = 6glo 6glo + -4glox + -6goL + 2goxL = -8glo + 8glo Combine like terms: -8glo + 8glo = 0 6glo + -4glox + -6goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(3l + -2lx + -3L + xL) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3l + -2lx + -3L + xL)' equal to zero and attempt to solve: Simplifying 3l + -2lx + -3L + xL = 0 Reorder the terms: -3L + 3l + -2lx + xL = 0 Solving -3L + 3l + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + 3l + -2lx + 3L + xL = 0 + 3L Reorder the terms: -3L + 3L + 3l + -2lx + xL = 0 + 3L Combine like terms: -3L + 3L = 0 0 + 3l + -2lx + xL = 0 + 3L 3l + -2lx + xL = 0 + 3L Remove the zero: 3l + -2lx + xL = 3L Add '-3l' to each side of the equation. 3l + -2lx + -3l + xL = 3L + -3l Reorder the terms: 3l + -3l + -2lx + xL = 3L + -3l Combine like terms: 3l + -3l = 0 0 + -2lx + xL = 3L + -3l -2lx + xL = 3L + -3l Add '2lx' to each side of the equation. -2lx + 2lx + xL = 3L + -3l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = 3L + -3l + 2lx xL = 3L + -3l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = 3L + -3l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = 3L + -3l + 2lx + -1xL Simplifying 0 = 3L + -3l + 2lx + -1xL 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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