Find the value of \log_3 2\times5^4\times\log_{5^2} 3^4

Symbiosis National Aptitude Test SNAP 2014 Paper

Question : 9 of 150

Marks: +1, -0

Find the value of

\log_3 2×5^4×\log_{5^2} 3^4

Solution:

\log_3 2×5^4×\log_{5^2} 3^4

4/2 \log_3 5×4/2 \log_5 3

= 4

(\log_3 5 × \log_5 3)

= 4 × 1 = 4.

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