Question

log2 log2 log2 X=1

Answer 1

Answer:

The value of x is 16

Step-by-step explanation:

Given:

$log_2(log_2(log_2x))=1$......(1)

Take,

$log_2x=u$ $\implies\,2^u=x$

Therefore,(1) becomes

$log_2(log_2u)=1$...........(2)

Take,

$log_2u=v$ $\implies\,2^v=u$

Therefore, (2) becomes

$log_2v=1$

$\implies\bf\,v=2$

$u=2^v$

$\implies\:u=2^2$

$\implies\bf\:u=4$

$x=2^u$

$\implies\,x=2^4$

$\implies\boxed{\bf\,x=16}$

Answer 2

Answer:

16

Step-by-step explanation:

answer is 16

x=16

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