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Simplifying log(16)(-2x + -2) = log(16)(-3x + 3) Reorder the terms: glo * 16(-2 + -2x) = log(16)(-3x + 3) Reorder the terms for easier multiplication: 16glo(-2 + -2x) = log(16)(-3x + 3) (-2 * 16glo + -2x * 16glo) = log(16)(-3x + 3) (-32glo + -32glox) = log(16)(-3x + 3) Reorder the terms: -32glo + -32glox = glo * 16(3 + -3x) Reorder the terms for easier multiplication: -32glo + -32glox = 16glo(3 + -3x) -32glo + -32glox = (3 * 16glo + -3x * 16glo) -32glo + -32glox = (48glo + -48glox) Solving -32glo + -32glox = 48glo + -48glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48glo' to each side of the equation. -32glo + -48glo + -32glox = 48glo + -48glo + -48glox Combine like terms: -32glo + -48glo = -80glo -80glo + -32glox = 48glo + -48glo + -48glox Combine like terms: 48glo + -48glo = 0 -80glo + -32glox = 0 + -48glox -80glo + -32glox = -48glox Add '48glox' to each side of the equation. -80glo + -32glox + 48glox = -48glox + 48glox Combine like terms: -32glox + 48glox = 16glox -80glo + 16glox = -48glox + 48glox Combine like terms: -48glox + 48glox = 0 -80glo + 16glox = 0 Factor out the Greatest Common Factor (GCF), '16glo'. 16glo(-5 + x) = 0 Ignore the factor 16.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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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