log.mnp)
4. In each of the following assumethat the base is 10. Prove that:
(1) log() + log(?) +log(+ log(3) - log() = 0
(ii) log360 = 3log2 + 2log3 + log5
(ii)log (1) - log2 + 2log 5 - log3 – 2log7.
(iv) log(10) + log(100) + log(1000) + log(10000) = 10.
Lív) 5log 3 -- log9 = log27.
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Step-by-step explanation:
लॉग 360 = लॉग ( ९)×४×२×5 )
= लॉग ( ९)×।×5 )
= लॉग 9 + लॉग 8+ लॉग 5
= =एल ओ जी 3
२
+एल ओ जी 2
३
+एल ओ जी 5
= 2 लॉग 3 + 3 लॉग 2+ लॉग 5
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