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Simplifying log(3x + 4) + Log(2) = Log(2x + -4) + -1Log(2) Reorder the terms: glo(4 + 3x) + Log(2) = Log(2x + -4) + -1Log(2) (4 * glo + 3x * glo) + Log(2) = Log(2x + -4) + -1Log(2) (4glo + 3glox) + Log(2) = Log(2x + -4) + -1Log(2) Reorder the terms for easier multiplication: 4glo + 3glox + 2goL = Log(2x + -4) + -1Log(2) Reorder the terms: 4glo + 3glox + 2goL = goL(-4 + 2x) + -1Log(2) 4glo + 3glox + 2goL = (-4 * goL + 2x * goL) + -1Log(2) 4glo + 3glox + 2goL = (-4goL + 2goxL) + -1Log(2) Reorder the terms for easier multiplication: 4glo + 3glox + 2goL = -4goL + 2goxL + -1 * 2goL Multiply -1 * 2 4glo + 3glox + 2goL = -4goL + 2goxL + -2goL Reorder the terms: 4glo + 3glox + 2goL = -4goL + -2goL + 2goxL Combine like terms: -4goL + -2goL = -6goL 4glo + 3glox + 2goL = -6goL + 2goxL Solving 4glo + 3glox + 2goL = -6goL + 2goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6goL' to each side of the equation. 4glo + 3glox + 2goL + 6goL = -6goL + 6goL + 2goxL Combine like terms: 2goL + 6goL = 8goL 4glo + 3glox + 8goL = -6goL + 6goL + 2goxL Combine like terms: -6goL + 6goL = 0 4glo + 3glox + 8goL = 0 + 2goxL 4glo + 3glox + 8goL = 2goxL Add '-2goxL' to each side of the equation. 4glo + 3glox + 8goL + -2goxL = 2goxL + -2goxL Combine like terms: 2goxL + -2goxL = 0 4glo + 3glox + 8goL + -2goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(4l + 3lx + 8L + -2xL) = 0Subproblem 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 '(4l + 3lx + 8L + -2xL)' equal to zero and attempt to solve: Simplifying 4l + 3lx + 8L + -2xL = 0 Reorder the terms: 8L + 4l + 3lx + -2xL = 0 Solving 8L + 4l + 3lx + -2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-8L' to each side of the equation. 8L + 4l + 3lx + -8L + -2xL = 0 + -8L Reorder the terms: 8L + -8L + 4l + 3lx + -2xL = 0 + -8L Combine like terms: 8L + -8L = 0 0 + 4l + 3lx + -2xL = 0 + -8L 4l + 3lx + -2xL = 0 + -8L Remove the zero: 4l + 3lx + -2xL = -8L Add '-4l' to each side of the equation. 4l + 3lx + -4l + -2xL = -8L + -4l Reorder the terms: 4l + -4l + 3lx + -2xL = -8L + -4l Combine like terms: 4l + -4l = 0 0 + 3lx + -2xL = -8L + -4l 3lx + -2xL = -8L + -4l Add '-3lx' to each side of the equation. 3lx + -3lx + -2xL = -8L + -4l + -3lx Combine like terms: 3lx + -3lx = 0 0 + -2xL = -8L + -4l + -3lx -2xL = -8L + -4l + -3lx Add '2xL' to each side of the equation. -2xL + 2xL = -8L + -4l + -3lx + 2xL Combine like terms: -2xL + 2xL = 0 0 = -8L + -4l + -3lx + 2xL Simplifying 0 = -8L + -4l + -3lx + 2xL 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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