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Simplifying Log[8](x2 + -2x) = log[8] * 3 Reorder the terms: goL * 8(-2x + x2) = log[8] * 3 Reorder the terms for easier multiplication: 8goL(-2x + x2) = log[8] * 3 (-2x * 8goL + x2 * 8goL) = log[8] * 3 (-16goxL + 8gox2L) = log[8] * 3 Reorder the terms for easier multiplication: -16goxL + 8gox2L = 8 * 3glo Multiply 8 * 3 -16goxL + 8gox2L = 24glo Solving -16goxL + 8gox2L = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -16goxL + -24glo + 8gox2L = 24glo + -24glo Reorder the terms: -24glo + -16goxL + 8gox2L = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -24glo + -16goxL + 8gox2L = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-3l + -2xL + x2L) = 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 '(-3l + -2xL + x2L)' equal to zero and attempt to solve: Simplifying -3l + -2xL + x2L = 0 Solving -3l + -2xL + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '3l' to each side of the equation. -3l + -2xL + 3l + x2L = 0 + 3l Reorder the terms: -3l + 3l + -2xL + x2L = 0 + 3l Combine like terms: -3l + 3l = 0 0 + -2xL + x2L = 0 + 3l -2xL + x2L = 0 + 3l Remove the zero: -2xL + x2L = 3l Add '2xL' to each side of the equation. -2xL + 2xL + x2L = 3l + 2xL Combine like terms: -2xL + 2xL = 0 0 + x2L = 3l + 2xL x2L = 3l + 2xL Add '-1x2L' to each side of the equation. x2L + -1x2L = 3l + 2xL + -1x2L Combine like terms: x2L + -1x2L = 0 0 = 3l + 2xL + -1x2L Simplifying 0 = 3l + 2xL + -1x2L 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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