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Simplifying Log(9)(3x + -19) = log(9) * 8 + -1log(9) * 4 Reorder the terms: goL * 9(-19 + 3x) = log(9) * 8 + -1log(9) * 4 Reorder the terms for easier multiplication: 9goL(-19 + 3x) = log(9) * 8 + -1log(9) * 4 (-19 * 9goL + 3x * 9goL) = log(9) * 8 + -1log(9) * 4 (-171goL + 27goxL) = log(9) * 8 + -1log(9) * 4 Reorder the terms for easier multiplication: -171goL + 27goxL = 9 * 8glo + -1log(9) * 4 Multiply 9 * 8 -171goL + 27goxL = 72glo + -1log(9) * 4 Reorder the terms for easier multiplication: -171goL + 27goxL = 72glo + -1 * 9 * 4glo Multiply -1 * 9 -171goL + 27goxL = 72glo + -9 * 4glo Multiply -9 * 4 -171goL + 27goxL = 72glo + -36glo Combine like terms: 72glo + -36glo = 36glo -171goL + 27goxL = 36glo Solving -171goL + 27goxL = 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. -171goL + -36glo + 27goxL = 36glo + -36glo Reorder the terms: -36glo + -171goL + 27goxL = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -36glo + -171goL + 27goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-4l + -19L + 3xL) = 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 '(-4l + -19L + 3xL)' equal to zero and attempt to solve: Simplifying -4l + -19L + 3xL = 0 Reorder the terms: -19L + -4l + 3xL = 0 Solving -19L + -4l + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '19L' to each side of the equation. -19L + -4l + 19L + 3xL = 0 + 19L Reorder the terms: -19L + 19L + -4l + 3xL = 0 + 19L Combine like terms: -19L + 19L = 0 0 + -4l + 3xL = 0 + 19L -4l + 3xL = 0 + 19L Remove the zero: -4l + 3xL = 19L Add '4l' to each side of the equation. -4l + 4l + 3xL = 19L + 4l Combine like terms: -4l + 4l = 0 0 + 3xL = 19L + 4l 3xL = 19L + 4l Add '-3xL' to each side of the equation. 3xL + -3xL = 19L + 4l + -3xL Combine like terms: 3xL + -3xL = 0 0 = 19L + 4l + -3xL Simplifying 0 = 19L + 4l + -3xL 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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