SOLUTION: Compare 2014^2015 and 2015^2014

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Question 982358: Compare 2014^2015 and 2015^2014
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
First guess is the number with the larger exponent is larger.

log%2810%2C2014%5E2015%29 versus log%2810%2C2015%5E2014%29
2015%2Alog%2810%2C2014%29 versus 2014%2Alog%2810%2C2015%29
2015%2A3.3040594662 versus 2014%2A3.3040594662

The log portion of each are so near each other that this portion, either log%28%282014%29%29 or log%28%282015%29%29 makes insignificant difference. The number with the larger exponent, given such similar or almost equal bases, is the larger number.

highlight%282014%5E2015%3E2015%5E2014%29