Can this log question be simplified? (2^(log_3 5)) - (5^(log_3 2)). I don't know any formula that can apply to it or is there a formula?? Even a hint will be helpful.

Greyson Landry

Greyson Landry

Answered question

2022-07-23

Can this log question be simplified?
2 l o g 3 5 5 l o g 3 2 . I don't know any formula that can apply to it or is there a formula?? Even a hint will be helpful.

Answer & Explanation

Tamoni5e

Tamoni5e

Beginner2022-07-24Added 14 answers

Use this:
x log b y = y log b x .
stratsticks57jl

stratsticks57jl

Beginner2022-07-25Added 3 answers

2 log 3 5 5 log 3 2 = 3 log 3 2 log 3 5 3 log 3 5 log 3 2 = 3 log 3 5 log 3 2 3 log 3 2 log 3 5 = ( 3 log 3 5 ) log 3 2 ( 3 log 3 2 ) log 3 5 = 5 log 3 2 2 log 2 5 2 log 3 5 5 log 3 2 = 5 log 3 2 2 log 2 5 2 2 log 3 5 = 2 5 log 3 2 2 log 3 5 = 5 log 3 2

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