Question

Image of ordered pair (1,2) on the graph of y=2^x in y=x is_______. It lies on the graph of y=_________.​

Answer 1

Image of ordered pair (1,2) on the graph of y=2^x in y=x is  (2 , 1)

It lies on the graph of y= logx / log 2  = log₂x

Step-by-step explanation:

Image of ( x , y)  in  line  y = x   is  ( y , x)

Hence image of ( 1, 2)  in line y = x  is  ( 2 , 1)

and graph  y = 2ˣ    becomes   x = $2^y$

taking log both sides

=> log x  = log  $2^y$

=> log x = y log 2

=> log x / log 2 = y

=> y = log x / log 2

=> y = log₂x

Image of ordered pair (1,2) on the graph of y=2^x in y=x is (2 , 1)

It lies on the graph of y= log₂x

Learn more:

9. The point A(3, 4) is mapped onto A' on reflection in the line L ...

brainly.in/question/23617215

on the graph paper plot a point p (-3,2). plot reflections of point p in x ...

brainly.in/question/18160708