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