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Simplifying Log(x + 13) + -1log * 2 = log(4x + 5) Reorder the terms: goL(13 + x) + -1log * 2 = log(4x + 5) (13 * goL + x * goL) + -1log * 2 = log(4x + 5) (13goL + goxL) + -1log * 2 = log(4x + 5) Reorder the terms for easier multiplication: 13goL + goxL + -1 * 2glo = log(4x + 5) Multiply -1 * 2 13goL + goxL + -2glo = log(4x + 5) Reorder the terms: -2glo + 13goL + goxL = log(4x + 5) Reorder the terms: -2glo + 13goL + goxL = glo(5 + 4x) -2glo + 13goL + goxL = (5 * glo + 4x * glo) -2glo + 13goL + goxL = (5glo + 4glox) Solving -2glo + 13goL + goxL = 5glo + 4glox 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. -2glo + 13goL + -5glo + goxL = 5glo + -5glo + 4glox Reorder the terms: -2glo + -5glo + 13goL + goxL = 5glo + -5glo + 4glox Combine like terms: -2glo + -5glo = -7glo -7glo + 13goL + goxL = 5glo + -5glo + 4glox Combine like terms: 5glo + -5glo = 0 -7glo + 13goL + goxL = 0 + 4glox -7glo + 13goL + goxL = 4glox Add '-4glox' to each side of the equation. -7glo + 13goL + -4glox + goxL = 4glox + -4glox Reorder the terms: -7glo + -4glox + 13goL + goxL = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -7glo + -4glox + 13goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-7l + -4lx + 13L + xL) = 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 '(-7l + -4lx + 13L + xL)' equal to zero and attempt to solve: Simplifying -7l + -4lx + 13L + xL = 0 Reorder the terms: 13L + -7l + -4lx + xL = 0 Solving 13L + -7l + -4lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-13L' to each side of the equation. 13L + -7l + -4lx + -13L + xL = 0 + -13L Reorder the terms: 13L + -13L + -7l + -4lx + xL = 0 + -13L Combine like terms: 13L + -13L = 0 0 + -7l + -4lx + xL = 0 + -13L -7l + -4lx + xL = 0 + -13L Remove the zero: -7l + -4lx + xL = -13L Add '7l' to each side of the equation. -7l + -4lx + 7l + xL = -13L + 7l Reorder the terms: -7l + 7l + -4lx + xL = -13L + 7l Combine like terms: -7l + 7l = 0 0 + -4lx + xL = -13L + 7l -4lx + xL = -13L + 7l Add '4lx' to each side of the equation. -4lx + 4lx + xL = -13L + 7l + 4lx Combine like terms: -4lx + 4lx = 0 0 + xL = -13L + 7l + 4lx xL = -13L + 7l + 4lx Add '-1xL' to each side of the equation. xL + -1xL = -13L + 7l + 4lx + -1xL Combine like terms: xL + -1xL = 0 0 = -13L + 7l + 4lx + -1xL Simplifying 0 = -13L + 7l + 4lx + -1xL 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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