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Simplifying Log(8)(x + -1) = log(8)(x + -2) + -1log(8)(x + 2) Reorder the terms: goL * 8(-1 + x) = log(8)(x + -2) + -1log(8)(x + 2) Reorder the terms for easier multiplication: 8goL(-1 + x) = log(8)(x + -2) + -1log(8)(x + 2) (-1 * 8goL + x * 8goL) = log(8)(x + -2) + -1log(8)(x + 2) (-8goL + 8goxL) = log(8)(x + -2) + -1log(8)(x + 2) Reorder the terms: -8goL + 8goxL = glo * 8(-2 + x) + -1log(8)(x + 2) Reorder the terms for easier multiplication: -8goL + 8goxL = 8glo(-2 + x) + -1log(8)(x + 2) -8goL + 8goxL = (-2 * 8glo + x * 8glo) + -1log(8)(x + 2) -8goL + 8goxL = (-16glo + 8glox) + -1log(8)(x + 2) Reorder the terms: -8goL + 8goxL = -16glo + 8glox + -1glo * 8(2 + x) Reorder the terms for easier multiplication: -8goL + 8goxL = -16glo + 8glox + -1 * 8glo(2 + x) Multiply -1 * 8 -8goL + 8goxL = -16glo + 8glox + -8glo(2 + x) -8goL + 8goxL = -16glo + 8glox + (2 * -8glo + x * -8glo) -8goL + 8goxL = -16glo + 8glox + (-16glo + -8glox) Reorder the terms: -8goL + 8goxL = -16glo + -16glo + 8glox + -8glox Combine like terms: -16glo + -16glo = -32glo -8goL + 8goxL = -32glo + 8glox + -8glox Combine like terms: 8glox + -8glox = 0 -8goL + 8goxL = -32glo + 0 -8goL + 8goxL = -32glo Solving -8goL + 8goxL = -32glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '32glo' to each side of the equation. -8goL + 32glo + 8goxL = -32glo + 32glo Reorder the terms: 32glo + -8goL + 8goxL = -32glo + 32glo Combine like terms: -32glo + 32glo = 0 32glo + -8goL + 8goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(4l + -1L + xL) = 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 '(4l + -1L + xL)' equal to zero and attempt to solve: Simplifying 4l + -1L + xL = 0 Reorder the terms: -1L + 4l + xL = 0 Solving -1L + 4l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + 4l + L + xL = 0 + L Reorder the terms: -1L + L + 4l + xL = 0 + L Combine like terms: -1L + L = 0 0 + 4l + xL = 0 + L 4l + xL = 0 + L Remove the zero: 4l + xL = L Add '-4l' to each side of the equation. 4l + -4l + xL = L + -4l Combine like terms: 4l + -4l = 0 0 + xL = L + -4l xL = L + -4l Add '-1xL' to each side of the equation. xL + -1xL = L + -4l + -1xL Combine like terms: xL + -1xL = 0 0 = L + -4l + -1xL Simplifying 0 = L + -4l + -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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