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Simplifying 2Log(8) * x = log(8) * 2 + log(8)(3x + 8) Reorder the terms for easier multiplication: 2 * 8goL * x = log(8) * 2 + log(8)(3x + 8) Multiply 2 * 8 16goL * x = log(8) * 2 + log(8)(3x + 8) Multiply goL * x 16goxL = log(8) * 2 + log(8)(3x + 8) Reorder the terms for easier multiplication: 16goxL = 8 * 2glo + log(8)(3x + 8) Multiply 8 * 2 16goxL = 16glo + log(8)(3x + 8) Reorder the terms: 16goxL = 16glo + glo * 8(8 + 3x) Reorder the terms for easier multiplication: 16goxL = 16glo + 8glo(8 + 3x) 16goxL = 16glo + (8 * 8glo + 3x * 8glo) 16goxL = 16glo + (64glo + 24glox) Combine like terms: 16glo + 64glo = 80glo 16goxL = 80glo + 24glox Solving 16goxL = 80glo + 24glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80glo' to each side of the equation. -80glo + 16goxL = 80glo + -80glo + 24glox Combine like terms: 80glo + -80glo = 0 -80glo + 16goxL = 0 + 24glox -80glo + 16goxL = 24glox Add '-24glox' to each side of the equation. -80glo + -24glox + 16goxL = 24glox + -24glox Combine like terms: 24glox + -24glox = 0 -80glo + -24glox + 16goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-10l + -3lx + 2xL) = 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 '(-10l + -3lx + 2xL)' equal to zero and attempt to solve: Simplifying -10l + -3lx + 2xL = 0 Solving -10l + -3lx + 2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '10l' to each side of the equation. -10l + -3lx + 10l + 2xL = 0 + 10l Reorder the terms: -10l + 10l + -3lx + 2xL = 0 + 10l Combine like terms: -10l + 10l = 0 0 + -3lx + 2xL = 0 + 10l -3lx + 2xL = 0 + 10l Remove the zero: -3lx + 2xL = 10l Add '3lx' to each side of the equation. -3lx + 3lx + 2xL = 10l + 3lx Combine like terms: -3lx + 3lx = 0 0 + 2xL = 10l + 3lx 2xL = 10l + 3lx Add '-2xL' to each side of the equation. 2xL + -2xL = 10l + 3lx + -2xL Combine like terms: 2xL + -2xL = 0 0 = 10l + 3lx + -2xL Simplifying 0 = 10l + 3lx + -2xL 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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