Q44 of 354 Page 12

If e^y = y^x, prove that

Here

Taking log on both sides,

[Using log =b log a]

--------- (i)

Differentiating it with respect to x using product rule,

Hence Proved.

If (cos x)^y = (tan y)^x, prove that

If e^x + e^y = e^{x + y}, prove that

If e^{x + y} – x = 0, prove that

If y = x sin(a + y), prove that

If ey = yx, prove that