Question

expand the following log log¹²⁵/⁶⁴​

Answer 1

$Expansion \: of \: log \: \frac{125}{64}$

$= log 125 - log 64$

$\boxed{\blue{ \because log \frac{m}{n} = log m - log n }}$

$= log 5^{3} - log 2^{6}$

$= 3 log 5 - 6 log 2$

$\boxed{\green{ \because log a^{n}=n log a }}$

Therefore.,

$\red{Expansion \: of \: log \: \frac{125}{64}}$

$\green {= 3 log 5 - 6 log 2}$

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