SOLUTION: log v to the power of 4/9 = -0.6666 Please solve with steps

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Question 133326: log v to the power of 4/9 = -0.6666
Please solve with steps

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this log%28v%5E%284%2F9%29%29+=+-%282%2F3%29?
If so,
%284%2F9%29%2Alog%28v%29+=+-%282%2F3%29
log%28v%29+=+-%282%2F3%29%2A%289%2F4%29
log%28v%29+=+-%283%2F2%29
v+=+10%5E%28-%283%2F2%29%29
v+=+1%2F%2810%5E1.5%29
v+=+31.623 answer