Math, asked by mukeag, 1 year ago

log2 log2 log2 16 = 1

Answers

Answered by akshuagarwal11
59
Pls refer to the attached file
Your answer is there
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Answered by ColinJacobus
58

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.

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