Question

log2 log2 log2 16 = 1

Answer 1

Pls refer to the attached file
Your answer is there

Answer 2

Answer: Proved.

Step-by-step explanation:  We are given to prove the following equality:

$\log_2\log_2\log_216=1.$

We will be using the following property of logarithm in the proof:

$(i)~\log_aa^b=b\log_aa,\\\\(ii)~\log_aa=1.$

We have

$L.H.S.\\\\=\log_2\log_2\log_216\\\\=\log_2\log_2\log_22^4\\\\=\log_2\log_24\log_22\\\\=\log_2\log_22^2\times 1\\\\=\log_22\log_22\\\\=1\times 1\\\\=1\\\\=R.H.S.$

Hence proved.