Agreed, going after the same target:
swift action: burning blade
movement action: close with the creature
standard action: shadow blade technique
attack roll 1: (1d20+8)[20]
attack roll 2: (1d20+8)[28]
if either one hits: (1d8+3)[10] bludgeoning damage + (1d6+4)[10] fire damage
if both hit: (1d6)[3] additional cold damage.