Question

if log basea 2=3 then why a is an irrational​

Answer 1

Answer:log base a 2 =3means that 'a' is an irrational number.

Step-by-step explanation:

This is because log base a 2=3 means 'a to th power 3 is equal to 2'.

''a^3 = 2''

By transportation:-

'' a = 2 ^(1/3)''

This means that 'a is equal to cube root of 2'. Since cube root of 2 is an irrational number, therefore 'a' is also an irrational number .

'Hence Proved'