If x13 y7 = (x + y)20, prove that

Q33 of 354 Page 12

If x¹³ y⁷ = (x + y)²⁰, prove that

_Here,

x¹³ y⁷ = (x + y)²⁰

Taking log on both sides,

13 log x+7log y = 20 log(x+y)

[ Since, log (AB)=logA+logB ; log =b log a]

Differentiating it with respect to x using the chain rule,

Hence, Proved.

Find , when

y = x^x + x^1/x

Find , when

y = x^{log x} + (log x)^x

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