SOLUTION: Please Solve: 16^x * 4^(x-2) = 1/64

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Question 361628: Please Solve:
16^x * 4^(x-2) = 1/64
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
16%5Ex+%2A+4%5E%28x-2%29+=+1%2F64
Take the log to the base 4 of both sides
log%284%2C16%5Ex%29+%2B+log%284%2C4%5E%28x-2%29%29+=+log%284%2C1%2F64%29
x%2A2+%2B+%28x-2%29%2A1+=+-3
2x+%2B+x+-+2+=+-3
3x+=+-1
x+=+-1%2F3