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Answer the following: Show that, log(a2bc)+log(b2ca)+log(c2ab) = 0 - Mathematics and Statistics

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Question

Answer the following:

Show that, `log ("a"^2/"bc") + log ("b"^2/"ca") + log ("c"^2/"ab")` = 0

Sum
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Solution

L.H.S. = `log ("a"^2/"bc") + log ("b"^2/"ca") + log ("c"^2/"ab")` 

= `log ("a"^2/"bc" xx "b"^2/"ca" xx "c"^2/"ab")`

= `log(("a"^2"b"^2"c"^2)/("a"^2"b"^2"c"^2))`

= log 1

= 0

= R.H.S.

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Chapter 6: Functions - Miscellaneous Exercise 6.2 [Page 131]

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