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