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  4. Solve: log 2 3 log 5 25 log 3 10 log 10 2.

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Q. Solve: $\log _2 3 \log _5 25 \log _3 10 \log _{10} 2$.

Logarithms

Solution:

$\log _2 3 \log _5 25 \log _3 10 \log _{10} 2$
$ =\frac{\log 3}{\log 2} \times \frac{2 \log 5}{\log 5} \times \frac{\log 10}{\log 3} \times \frac{\log 2}{\log 10} $
$ =2 $
$=\log _5 25$