Question

good mrng solve this 2 question asap
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Answer 1

Answer:

Good morning

1):-2

2 x+1

2 x+1 =3

2 x+1 =3 −x

2 x+1 =3 −x

2 x+1 =3 −x taking log both side

2 x+1 =3 −x taking log both side(x+1log2=(1−x)log3

2):-where p, q are integers. Where p-q 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.

ii):-<span lang="EN-US. As 2 is rational number, ∴ log 100 is also rational.