1.

The graph of \( y=9^{x} \) and \( y=\log _{9} x \) is are mirror image of each other about line y = x prove.

Answer»

Let y = 9x

The mirror function of y = 9x about line y = x will find by inter changing x & y. i.e., putting x in place of y & y in place of x.

So, x = 9y

⇒ y = log9x   (By taking log9 on both sides)

Hence, functions y = 9x & y = log9x are mirror images of each other about line y = x.



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