May be easy.......

{\color{red} 17^{14}>31^{11}-\mathit{Prove...}}

3 Answers

62
Lokesh Verma ·

use 17=16+1

and 31=32-1

I think that should seal the deal :)

62
Lokesh Verma ·

Solution is hidden below :)

LHS > 16^14=256

RHS < 32^11 = 255

also 256>255

Hence done :)

1
Riju ·

Excellent good job still I am posting the solutions................for others17^{14}>16^{14}=(2^{4})^{14}=2^{56}>2^{55}=(2^{5})^{11}=32^{11}>31^{11}

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