Question

is log 2 rational or irrational ?​

Answer 1

Short proof of “log 2 is irrational”

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.

Answer 2

here is the answer

Answer:

Since log 1=0 and log10=1,0<log2<1 and p<q. 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

explain.

Short proof of “log 2 is irrational”

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.