prove that log18 base 4is an irrational number
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Here's a similar example.
I Hope you can relate.
Let log5 at base 3= p/q
5=3^p/q....where p and q are integers (q isnot equals to zero).
5^q=3^p
As 5 and 3 are prime numbers. There is no integers multiple of 5 equals 3 and vice versa. Therefore this is a contradiction (p and q are integers).
I Hope you can relate.
Let log5 at base 3= p/q
5=3^p/q....where p and q are integers (q isnot equals to zero).
5^q=3^p
As 5 and 3 are prime numbers. There is no integers multiple of 5 equals 3 and vice versa. Therefore this is a contradiction (p and q are integers).
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