SOLUTION: Solve for x: 96(8(^x/2))=6

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Question 127085: Solve for x:
96(8(^x/2))=6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
96%288%5E%28x%2F2%29%29=6Divide both sides by 96.
8%5E%28x%2F2%29=1%2F16Take log base 8 of both sides.
x%2F2=-log%2816%29%2Flog%288%29
x=-2%2Alog%2816%29%2Flog%288%29
x=-2%2A%28log%282%29%2Blog%288%29%29%2Flog%288%29
x=-2%2A%28log%282%29%2Flog%288%29%2B1%29
x=-2%2A%28log%282%29%2Flog%282%5E3%29%2B1%29
x=-2%2A%28log%282%29%2F%283%2Alog%282%29%29%2B1%29
x=-2%2A%28%281%2F3%29%2B1%29
x=-2%2A%284%2F3%29
x=-8%2F3%29