Image of ordered pair (1,2) on the graph of y=2^x in y=x is_______. It lies on the graph of y=_________.
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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 =
taking log both sides
=> log x = log
=> 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
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