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Answer the following: Show that, logy x3 . logz y4 . logx z5 = 60 - Mathematics and Statistics

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Question

Answer the following:

Show that, logy x3 . logz y4 . logx z5 = 60

Sum

Solution

L.H.S. = logy (x3) logz (y4) logx (z5)

= (3 logy x) (4 logz y) (5 logx z)

= `60 ((logx)/(logy)) ((logy)/(logz)) ((logz)/(logx))`

= 60

= R.H.S. 

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

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