SOLUTION: The problem is stated as such: 255 is what root of 16,581,375. How do I go about solving this?

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Question 148689: The problem is stated as such: 255 is what root of 16,581,375.
How do I go about solving this?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is stated as such: 255 is what root of 16,581,375
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One way: Keep multiply 255 times itself till you get 16,581,375
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Another way:
EQUATION:
255 = (16581375)^(1/x)
Take the log of both sides to get:
log255 = (1/x)log(16581375)
(1/x) = [log255]/[log16581375]
1/x = 1/3
x = 3
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255^3 = 16581375
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Cheers,
Stan H.