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Simplifying log[5](x2 + -16) + -1log[5](x + -4) = log[5] * 17 Reorder the terms: glo * 5(-16 + x2) + -1log[5](x + -4) = log[5] * 17 Reorder the terms for easier multiplication: 5glo(-16 + x2) + -1log[5](x + -4) = log[5] * 17 (-16 * 5glo + x2 * 5glo) + -1log[5](x + -4) = log[5] * 17 (-80glo + 5glox2) + -1log[5](x + -4) = log[5] * 17 Reorder the terms: -80glo + 5glox2 + -1glo * 5(-4 + x) = log[5] * 17 Reorder the terms for easier multiplication: -80glo + 5glox2 + -1 * 5glo(-4 + x) = log[5] * 17 Multiply -1 * 5 -80glo + 5glox2 + -5glo(-4 + x) = log[5] * 17 -80glo + 5glox2 + (-4 * -5glo + x * -5glo) = log[5] * 17 -80glo + 5glox2 + (20glo + -5glox) = log[5] * 17 Reorder the terms: -80glo + 20glo + -5glox + 5glox2 = log[5] * 17 Combine like terms: -80glo + 20glo = -60glo -60glo + -5glox + 5glox2 = log[5] * 17 Reorder the terms for easier multiplication: -60glo + -5glox + 5glox2 = 5 * 17glo Multiply 5 * 17 -60glo + -5glox + 5glox2 = 85glo Solving -60glo + -5glox + 5glox2 = 85glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-85glo' to each side of the equation. -60glo + -5glox + -85glo + 5glox2 = 85glo + -85glo Reorder the terms: -60glo + -85glo + -5glox + 5glox2 = 85glo + -85glo Combine like terms: -60glo + -85glo = -145glo -145glo + -5glox + 5glox2 = 85glo + -85glo Combine like terms: 85glo + -85glo = 0 -145glo + -5glox + 5glox2 = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-29 + -1x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-29 + -1x + x2)' equal to zero and attempt to solve: Simplifying -29 + -1x + x2 = 0 Solving -29 + -1x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '29' to each side of the equation. -29 + -1x + 29 + x2 = 0 + 29 Reorder the terms: -29 + 29 + -1x + x2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x + x2 = 0 + 29 -1x + x2 = 0 + 29 Combine like terms: 0 + 29 = 29 -1x + x2 = 29 Add 'x' to each side of the equation. -1x + x + x2 = 29 + x Combine like terms: -1x + x = 0 0 + x2 = 29 + x x2 = 29 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 29 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 29 + x + -1x2 Simplifying 0 = 29 + x + -1x2 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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