Question

Is log2 rational or irrational

Answer 1

Answer:

irrational

Step-by-step explanation:

Assume that log 2 is rational, that is,

                                        (1)

               where p, q are integers.

               Since log 1 = 0 and log 10 = 1,  0 < log 2 < 1  and therefore p < q.

               From (1),          

                                               

                                                  , where q – p is an integer greater than 0.

               Now, it can be seen that the L.H.S. is even and the R.H.S. is odd.

               Hence there is contradiction and  log 2  is irrational...

PLS MARK IT AS BRAINLIEST..