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OBSERVATION 1. Image of ordered pair …

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OBSERVATION 1. Image of ordered pair (1, 2) on the graph of y = 2x in y = x is ______. It lies on the graph of y = _______. 2. Image of the point (4, 2) on the graph y = log2 x in y = x is _________ which lies on the graph of y = _______.
  • 3 answers

Bhumika Agrawal 3 years, 2 months ago

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^y2y taking log both sides => log x  = log  2^y2y => 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

Haigriv Patel 3 years, 2 months ago

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^y2y taking log both sides => log x  = log  2^y2y => 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

Haigriv Patel 3 years, 2 months ago

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^y2 y taking log both sides => log x = log 2^y2 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
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