Proof the logaritmic identity Please help me proving the

Jaylin Clements

Jaylin Clements

Answered question

2022-04-01

Proof the logaritmic identity
Please help me proving the basic logarithmic identity
log312=1+log54log65log36

Answer & Explanation

Cindy Reynolds

Cindy Reynolds

Beginner2022-04-02Added 7 answers

Before we prove the identity mention some logaritmic identity:
1) logab=logxblogxa
2) logaxy=logax+logay
3) logaa=1
log312=1+log54log65log36
log312=1+log4log5log5log6log6log3
log312=1+log4log3
log312=log33+log34
log312=log312
Payten Reese

Payten Reese

Beginner2022-04-03Added 10 answers

1+log54log65log36=1+log4log5log6log5log6log3=1+log4log3=log3log3+log4log3=log33+log34=log3(3.4)=log312
as
logxy=logzylogzx
and
logzx+logzy=logzxy
where z is positive real number 1 as log1x is not defined.

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