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Simplifying log(8x2)(-4x3) = log(8x2)(8x2) Remove parenthesis around (8x2) glo * 8x2(-4x3) = log(8x2)(8x2) Remove parenthesis around (-4x3) glo * 8x2 * -4x3 = log(8x2)(8x2) Reorder the terms for easier multiplication: 8 * -4glo * x2 * x3 = log(8x2)(8x2) Multiply 8 * -4 -32glo * x2 * x3 = log(8x2)(8x2) Multiply glo * x2 -32glox2 * x3 = log(8x2)(8x2) Multiply glox2 * x3 -32glox5 = log(8x2)(8x2) Remove parenthesis around (8x2) -32glox5 = glo * 8x2(8x2) Remove parenthesis around (8x2) -32glox5 = glo * 8x2 * 8x2 Reorder the terms for easier multiplication: -32glox5 = 8 * 8glo * x2 * x2 Multiply 8 * 8 -32glox5 = 64glo * x2 * x2 Multiply glo * x2 -32glox5 = 64glox2 * x2 Multiply glox2 * x2 -32glox5 = 64glox4 Solving -32glox5 = 64glox4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-64glox4' to each side of the equation. -64glox4 + -32glox5 = 64glox4 + -64glox4 Combine like terms: 64glox4 + -64glox4 = 0 -64glox4 + -32glox5 = 0 Factor out the Greatest Common Factor (GCF), '-32glox4'. -32glox4(2 + x) = 0 Ignore the factor -32.Subproblem 1
Set the factor 'glox4' equal to zero and attempt to solve: Simplifying glox4 = 0 Solving glox4 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox4 = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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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