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Do you mean y=x^2.5? I you had y=13^2.77, it's easier to use log.
log y=2.77*log13 ~ 3.0856. 1217.9 is the antilog and answer.x=1217.9
But math can be more complicated. How about y^2.5=x^1.8. Logs really shine here. Take log of both sides. 2.5*log y = 1.8 log x. Say x=100 and 1.8 log 100 = 1.8*2=3.6. We have 2.5 log y = 3.6 and log y = 3.6/2.5 = 1.44. Now y = antilog 1.44=27.54229. So does 27.54229^2.5 = 100^1.8 ? Yes it does.
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4
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