Does log_a b = log_sqrt a sqrt b Does the following equation is true for all a,b in RR?

Chloe Arnold

Chloe Arnold

Answered question

2022-10-25

Does log a b = log a b can be a basic logarithm law?
Does the following equation is true for all a , b R ?
log a b = log a b
I have tried to proove this, and I didnt find any contradiction. Is it true?

Answer & Explanation

bibliothecaqz

bibliothecaqz

Beginner2022-10-26Added 12 answers

It's true for all positive b, a 1 as
log a b = ln b ln a = 1 2 ln b 1 2 ln a = ln b ln a = log a b

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