SOLUTION: Please help me solve this question Prove the identity ; log N base a . Log N base b + log N base b . Log N base c + log N base c . Log N base a = log N base a . Log N base b . Log

Question 1034314: Please help me solve this question
Prove the identity ; log N base a . Log N base b + log N base b . Log N base c + log N base c . Log N base a = log N base a . Log N base b . Log N base c/ log N base abc
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
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Please help me solve this question
Prove the identity ; log N base a . Log N base b + log N base b . Log N base c + log N base c . Log N base a = log N base a . Log N base b . Log N base c/ log N base abc
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Check that the left side is equal to

 +  + .


For it, use the identity  = , which is universal for logarithms.


Write this sum with the common denominator, which is

.

Then the numerator will be 

 =  = .

Exactly as the right side is.


Proved.

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