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Simplifying Log(4 + x) + -1log(x + -3) = log2 (4 * goL + x * goL) + -1log(x + -3) = log2 (4goL + goxL) + -1log(x + -3) = log2 Reorder the terms: 4goL + goxL + -1glo(-3 + x) = log2 4goL + goxL + (-3 * -1glo + x * -1glo) = log2 4goL + goxL + (3glo + -1glox) = log2 Reorder the terms: 3glo + -1glox + 4goL + goxL = log2 Solving 3glo + -1glox + 4goL + goxL = g2lo Solving for variable 'g'. Combine like terms: g2lo + -1g2lo = 0 3glo + -1glox + 4goL + goxL + -1g2lo = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(3l + -1lx + 4L + xL + -1gl) = 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 '(3l + -1lx + 4L + xL + -1gl)' equal to zero and attempt to solve: Simplifying 3l + -1lx + 4L + xL + -1gl = 0 Reorder the terms: 4L + -1gl + 3l + -1lx + xL = 0 Solving 4L + -1gl + 3l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -1gl + 3l + -1lx + -4L + xL = 0 + -4L Reorder the terms: 4L + -4L + -1gl + 3l + -1lx + xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -1gl + 3l + -1lx + xL = 0 + -4L -1gl + 3l + -1lx + xL = 0 + -4L Remove the zero: -1gl + 3l + -1lx + xL = -4L Add '-3l' to each side of the equation. -1gl + 3l + -1lx + -3l + xL = -4L + -3l Reorder the terms: -1gl + 3l + -3l + -1lx + xL = -4L + -3l Combine like terms: 3l + -3l = 0 -1gl + 0 + -1lx + xL = -4L + -3l -1gl + -1lx + xL = -4L + -3l Add 'lx' to each side of the equation. -1gl + -1lx + lx + xL = -4L + -3l + lx Combine like terms: -1lx + lx = 0 -1gl + 0 + xL = -4L + -3l + lx -1gl + xL = -4L + -3l + lx Add '-1xL' to each side of the equation. -1gl + xL + -1xL = -4L + -3l + lx + -1xL Combine like terms: xL + -1xL = 0 -1gl + 0 = -4L + -3l + lx + -1xL -1gl = -4L + -3l + lx + -1xL Divide each side by '-1l'. g = 4l-1L + 3 + -1x + l-1xL Simplifying g = 4l-1L + 3 + -1x + l-1xL Reorder the terms: g = 3 + 4l-1L + l-1xL + -1xSolution
g = {3 + 4l-1L + l-1xL + -1x}
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