Question

harsha said if a=2 ^ log 5, b= 5 ^ log2 then a = b.Do you agree? justify your answer

Answer 1

Answer:

yes

Step-by-step explanation:

Given

a=2^log(5)

take log both sides {logx^y}=y logx

we get log a=log5*log2

and

similarly ,

when we do with b=5^log2

we get logb=log2*log5

as multiplication is commutative both are equal

hence log a= log b

so

a=b