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Simplifying Log(9)(x + 5) + -1log(9)(x) = log(9)(18) Reorder the terms: goL * 9(5 + x) + -1log(9)(x) = log(9)(18) Reorder the terms for easier multiplication: 9goL(5 + x) + -1log(9)(x) = log(9)(18) (5 * 9goL + x * 9goL) + -1log(9)(x) = log(9)(18) (45goL + 9goxL) + -1log(9)(x) = log(9)(18) Reorder the terms for easier multiplication: 45goL + 9goxL + -1 * 9glo * x = log(9)(18) Multiply -1 * 9 45goL + 9goxL + -9glo * x = log(9)(18) Multiply glo * x 45goL + 9goxL + -9glox = log(9)(18) Reorder the terms: -9glox + 45goL + 9goxL = log(9)(18) Reorder the terms for easier multiplication: -9glox + 45goL + 9goxL = 9 * 18glo Multiply 9 * 18 -9glox + 45goL + 9goxL = 162glo Solving -9glox + 45goL + 9goxL = 162glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-162glo' to each side of the equation. -9glox + 45goL + -162glo + 9goxL = 162glo + -162glo Reorder the terms: -162glo + -9glox + 45goL + 9goxL = 162glo + -162glo Combine like terms: 162glo + -162glo = 0 -162glo + -9glox + 45goL + 9goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-18l + -1lx + 5L + 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 '(-18l + -1lx + 5L + xL)' equal to zero and attempt to solve: Simplifying -18l + -1lx + 5L + xL = 0 Reorder the terms: 5L + -18l + -1lx + xL = 0 Solving 5L + -18l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -18l + -1lx + -5L + xL = 0 + -5L Reorder the terms: 5L + -5L + -18l + -1lx + xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -18l + -1lx + xL = 0 + -5L -18l + -1lx + xL = 0 + -5L Remove the zero: -18l + -1lx + xL = -5L Add '18l' to each side of the equation. -18l + -1lx + 18l + xL = -5L + 18l Reorder the terms: -18l + 18l + -1lx + xL = -5L + 18l Combine like terms: -18l + 18l = 0 0 + -1lx + xL = -5L + 18l -1lx + xL = -5L + 18l Add 'lx' to each side of the equation. -1lx + lx + xL = -5L + 18l + lx Combine like terms: -1lx + lx = 0 0 + xL = -5L + 18l + lx xL = -5L + 18l + lx Add '-1xL' to each side of the equation. xL + -1xL = -5L + 18l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -5L + 18l + lx + -1xL Simplifying 0 = -5L + 18l + 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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