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What is log5(4*7)+log5^2 as a single log?

User Quine
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2 Answers

4 votes
log5(4*7)+log5^2=log5*28*25=log3500
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I'm not sure what I understood correctly
User Akhorus
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5 votes

Answer with explanation:

The four options are

(A) log5 21 (B) log5 26 (C) log5 30 (D) log5 56


\rightarrow\log_(5)(4* 7) +\log_(5)(2)\\\\ \rightarrow \log_(5)28+\log_(5)2\\\\\rightarrow \log_(5)(28 * 2)\\\\=\log_(5)(56)\\\\ \text{Used this property of log}\\\\ \log_(m) a+\log_(m) b=\log_(m) ab

Option D

User Schanckopotamus
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