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Simplifying Log(4x + 3) = log(x + -5) Reorder the terms: goL(3 + 4x) = log(x + -5) (3 * goL + 4x * goL) = log(x + -5) (3goL + 4goxL) = log(x + -5) Reorder the terms: 3goL + 4goxL = glo(-5 + x) 3goL + 4goxL = (-5 * glo + x * glo) 3goL + 4goxL = (-5glo + glox) Solving 3goL + 4goxL = -5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 3goL + 5glo + 4goxL = -5glo + 5glo + glox Reorder the terms: 5glo + 3goL + 4goxL = -5glo + 5glo + glox Combine like terms: -5glo + 5glo = 0 5glo + 3goL + 4goxL = 0 + glox 5glo + 3goL + 4goxL = glox Add '-1glox' to each side of the equation. 5glo + 3goL + -1glox + 4goxL = glox + -1glox Reorder the terms: 5glo + -1glox + 3goL + 4goxL = glox + -1glox Combine like terms: glox + -1glox = 0 5glo + -1glox + 3goL + 4goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(5l + -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 '(5l + -1lx + 3L + 4xL)' equal to zero and attempt to solve: Simplifying 5l + -1lx + 3L + 4xL = 0 Reorder the terms: 3L + 5l + -1lx + 4xL = 0 Solving 3L + 5l + -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 + 5l + -1lx + -3L + 4xL = 0 + -3L Reorder the terms: 3L + -3L + 5l + -1lx + 4xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + 5l + -1lx + 4xL = 0 + -3L 5l + -1lx + 4xL = 0 + -3L Remove the zero: 5l + -1lx + 4xL = -3L Add '-5l' to each side of the equation. 5l + -1lx + -5l + 4xL = -3L + -5l Reorder the terms: 5l + -5l + -1lx + 4xL = -3L + -5l Combine like terms: 5l + -5l = 0 0 + -1lx + 4xL = -3L + -5l -1lx + 4xL = -3L + -5l Add 'lx' to each side of the equation. -1lx + lx + 4xL = -3L + -5l + lx Combine like terms: -1lx + lx = 0 0 + 4xL = -3L + -5l + lx 4xL = -3L + -5l + lx Add '-4xL' to each side of the equation. 4xL + -4xL = -3L + -5l + lx + -4xL Combine like terms: 4xL + -4xL = 0 0 = -3L + -5l + lx + -4xL Simplifying 0 = -3L + -5l + 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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