HOLA BRAINLY PEOPLE ! PROVE THAT log₇4 . log₅7 . log₂5 = 2
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Answered by
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Hey Miss
Here's The Answer
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There are some very common used log property
==> logₓ(y) = log y/log x _______(1)
Now using this property (1) in L.H.S
==> log₇(4) . log₅(7) . log₂(5)
=> log(4)/log(7) . log(7)/log(5) . log(5)/log(2)
Cancelling, finally we get
=> log(4)/log(2)
We can also write it as
=> log₂(4)
=> log₂(2)²
=> 2 . log₂(2)
=> 2 . 1
=> 2
Hence Proved
Hope it Helps
:)
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