Question

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

Answer 1

Answer with explanation:

The four options are

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

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

Option D

Answer 2

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