Question

please do answer properly in detail! ​

Answer 1

Answer:

Option(2)

Step-by-step explanation:

$Given:log_{16}3 * log_{17}4 * log_{9}17$

$=>log_{16} 3 * \frac{log4}{log9}$

$=>log_{16}3 * \frac{log2^2}{log3^2}$

$=>log_{16}3 * \frac{2log2}{2log3}$

$=>\frac{log_{16}(3) * log(2)}{log(3)}$

$=>\frac{log_{4^2}(3) * log(2)}{log3}$

$=>\frac{\frac{1}{2}log_{4} (3)log(2)}{log(3)}$

$=>\frac{\frac{1}{2}log_{2^2} (3)log(2)}{log(3)}$

$=>\frac{1}{4}\frac{log(2)log_{2}(3)}{log(3)}$

$=>\frac{1}{4} * 1$

$=>\boxed{\frac{1}{4}}$

Hope it helps!

Answer 2

HOPE THIS HELPS YOU ✌️✌️