Question

9. Is (i) log 2 rational or irrational? Justify your answer (ü) log 100 rational or irrational? Justify your answer.​

Answer 1

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.