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Answer the following: For any base show that log (1 + 2 + 3) = log 1 + log 2 + log 3 - Mathematics and Statistics

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Question

Answer the following:

For any base show that log (1 + 2 + 3) = log 1 + log 2 + log 3

Sum
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Solution

L.H.S. = log (1 + 2 + 3) = log 6

R.H.S. = log 1 + log 2 + log 3

= 0 + log (2 × 3)

= log 6

∴ L.H.S. = R.H.S.

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

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