SOLUTION: how do you evaluate 125 raised to log base 25 of 4?

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Question 282324: how do you evaluate 125 raised to log base 25 of 4?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
how do you evaluate 125 raised to log base 25 of 4?
.
125%5E%28log%2825%2C4%29%29
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First, take care of the power by applying "change of base":
log%2825%2C4%29+=+log%284%29%2Flog%2825%29+=+0.43068
.
Now, we have:
125%5E%28log%2825%2C4%29%29+=+125%5E0.43068+=+8