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Simplifying Log[9](x + 6) + -1log[9] * x = log[9] * 2 Reorder the terms: goL * 9(6 + x) + -1log[9] * x = log[9] * 2 Reorder the terms for easier multiplication: 9goL(6 + x) + -1log[9] * x = log[9] * 2 (6 * 9goL + x * 9goL) + -1log[9] * x = log[9] * 2 (54goL + 9goxL) + -1log[9] * x = log[9] * 2 Reorder the terms for easier multiplication: 54goL + 9goxL + -1 * 9glo * x = log[9] * 2 Multiply -1 * 9 54goL + 9goxL + -9glo * x = log[9] * 2 Multiply glo * x 54goL + 9goxL + -9glox = log[9] * 2 Reorder the terms: -9glox + 54goL + 9goxL = log[9] * 2 Reorder the terms for easier multiplication: -9glox + 54goL + 9goxL = 9 * 2glo Multiply 9 * 2 -9glox + 54goL + 9goxL = 18glo Solving -9glox + 54goL + 9goxL = 18glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. -9glox + 54goL + -18glo + 9goxL = 18glo + -18glo Reorder the terms: -18glo + -9glox + 54goL + 9goxL = 18glo + -18glo Combine like terms: 18glo + -18glo = 0 -18glo + -9glox + 54goL + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-2l + -1lx + 6L + xL) = 0 Ignore the factor 9.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 '(-2l + -1lx + 6L + xL)' equal to zero and attempt to solve: Simplifying -2l + -1lx + 6L + xL = 0 Reorder the terms: 6L + -2l + -1lx + xL = 0 Solving 6L + -2l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -2l + -1lx + -6L + xL = 0 + -6L Reorder the terms: 6L + -6L + -2l + -1lx + xL = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -2l + -1lx + xL = 0 + -6L -2l + -1lx + xL = 0 + -6L Remove the zero: -2l + -1lx + xL = -6L Add '2l' to each side of the equation. -2l + -1lx + 2l + xL = -6L + 2l Reorder the terms: -2l + 2l + -1lx + xL = -6L + 2l Combine like terms: -2l + 2l = 0 0 + -1lx + xL = -6L + 2l -1lx + xL = -6L + 2l Add 'lx' to each side of the equation. -1lx + lx + xL = -6L + 2l + lx Combine like terms: -1lx + lx = 0 0 + xL = -6L + 2l + lx xL = -6L + 2l + lx Add '-1xL' to each side of the equation. xL + -1xL = -6L + 2l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -6L + 2l + lx + -1xL Simplifying 0 = -6L + 2l + lx + -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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