Question

please do answer in detail ​

Answer 1

Answer:

Option(2)

Step-by-step explanation:

$Given:log_{2}[log_{2}\big\{log_{2}(log_{3}81)\big\}]$

$=>log_{2}[log_{2}\big\{log_{2}(log_{3} * 3^4)\big\}]$

$=>log_{2}[log_{2}\big\{log_{2}(4log_{3}3)\big\}]$

$=>log_{2}[log_{2}\big\{log_{2}(4)\big\}]$

$=>log_{2}[log_{2}\big\{log_{2}(2^2)\big\}]$

$=>log_{2}[log_{2}\big\{2log_{2}(2)\big\}]$

$=>log_{2}[log_{2}\big\{2\big\}]$

$=>log_{2}[1]$

$=>0$

Hope it helps!

Answer 2

Answer:

Step-by-step explanation: