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Simplifying Log(3x + 3) = log(9x + -15) Reorder the terms: goL(3 + 3x) = log(9x + -15) (3 * goL + 3x * goL) = log(9x + -15) (3goL + 3goxL) = log(9x + -15) Reorder the terms: 3goL + 3goxL = glo(-15 + 9x) 3goL + 3goxL = (-15 * glo + 9x * glo) 3goL + 3goxL = (-15glo + 9glox) Solving 3goL + 3goxL = -15glo + 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '15glo' to each side of the equation. 3goL + 15glo + 3goxL = -15glo + 15glo + 9glox Reorder the terms: 15glo + 3goL + 3goxL = -15glo + 15glo + 9glox Combine like terms: -15glo + 15glo = 0 15glo + 3goL + 3goxL = 0 + 9glox 15glo + 3goL + 3goxL = 9glox Add '-9glox' to each side of the equation. 15glo + 3goL + -9glox + 3goxL = 9glox + -9glox Reorder the terms: 15glo + -9glox + 3goL + 3goxL = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 15glo + -9glox + 3goL + 3goxL = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(5l + -3lx + L + xL) = 0 Ignore the factor 3.Subproblem 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 + -3lx + L + xL)' equal to zero and attempt to solve: Simplifying 5l + -3lx + L + xL = 0 Reorder the terms: L + 5l + -3lx + xL = 0 Solving L + 5l + -3lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 5l + -3lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + 5l + -3lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + 5l + -3lx + xL = 0 + -1L 5l + -3lx + xL = 0 + -1L Remove the zero: 5l + -3lx + xL = -1L Add '-5l' to each side of the equation. 5l + -3lx + -5l + xL = -1L + -5l Reorder the terms: 5l + -5l + -3lx + xL = -1L + -5l Combine like terms: 5l + -5l = 0 0 + -3lx + xL = -1L + -5l -3lx + xL = -1L + -5l Add '3lx' to each side of the equation. -3lx + 3lx + xL = -1L + -5l + 3lx Combine like terms: -3lx + 3lx = 0 0 + xL = -1L + -5l + 3lx xL = -1L + -5l + 3lx Add '-1xL' to each side of the equation. xL + -1xL = -1L + -5l + 3lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + -5l + 3lx + -1xL Simplifying 0 = -1L + -5l + 3lx + -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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