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