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Simplifying Log(8)(3x + -7) = log(8)(48 + -8x) Reorder the terms: goL * 8(-7 + 3x) = log(8)(48 + -8x) Reorder the terms for easier multiplication: 8goL(-7 + 3x) = log(8)(48 + -8x) (-7 * 8goL + 3x * 8goL) = log(8)(48 + -8x) (-56goL + 24goxL) = log(8)(48 + -8x) Reorder the terms for easier multiplication: -56goL + 24goxL = 8glo(48 + -8x) -56goL + 24goxL = (48 * 8glo + -8x * 8glo) -56goL + 24goxL = (384glo + -64glox) Solving -56goL + 24goxL = 384glo + -64glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-384glo' to each side of the equation. -56goL + -384glo + 24goxL = 384glo + -384glo + -64glox Reorder the terms: -384glo + -56goL + 24goxL = 384glo + -384glo + -64glox Combine like terms: 384glo + -384glo = 0 -384glo + -56goL + 24goxL = 0 + -64glox -384glo + -56goL + 24goxL = -64glox Add '64glox' to each side of the equation. -384glo + -56goL + 64glox + 24goxL = -64glox + 64glox Reorder the terms: -384glo + 64glox + -56goL + 24goxL = -64glox + 64glox Combine like terms: -64glox + 64glox = 0 -384glo + 64glox + -56goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-48l + 8lx + -7L + 3xL) = 0 Ignore the factor 8.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 '(-48l + 8lx + -7L + 3xL)' equal to zero and attempt to solve: Simplifying -48l + 8lx + -7L + 3xL = 0 Reorder the terms: -7L + -48l + 8lx + 3xL = 0 Solving -7L + -48l + 8lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '7L' to each side of the equation. -7L + -48l + 8lx + 7L + 3xL = 0 + 7L Reorder the terms: -7L + 7L + -48l + 8lx + 3xL = 0 + 7L Combine like terms: -7L + 7L = 0 0 + -48l + 8lx + 3xL = 0 + 7L -48l + 8lx + 3xL = 0 + 7L Remove the zero: -48l + 8lx + 3xL = 7L Add '48l' to each side of the equation. -48l + 8lx + 48l + 3xL = 7L + 48l Reorder the terms: -48l + 48l + 8lx + 3xL = 7L + 48l Combine like terms: -48l + 48l = 0 0 + 8lx + 3xL = 7L + 48l 8lx + 3xL = 7L + 48l Add '-8lx' to each side of the equation. 8lx + -8lx + 3xL = 7L + 48l + -8lx Combine like terms: 8lx + -8lx = 0 0 + 3xL = 7L + 48l + -8lx 3xL = 7L + 48l + -8lx Add '-3xL' to each side of the equation. 3xL + -3xL = 7L + 48l + -8lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = 7L + 48l + -8lx + -3xL Simplifying 0 = 7L + 48l + -8lx + -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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