Question

why log 2 is irrational

Answer 1

Step-by-step explanation:

Since log 1 =0 and log 10=1,0<log 2<1 and therefore p<q. 2power q-p= 5 power p, where q-p is an interger greater than 0. Now it can be seen that L.H.S is even and the RHS is odd. Hence there is contradiction and therefore log2 is irrational.

Answer 2

Answer:

here is your answer

Step-by-step explanation:

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

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