Question

use the properties of logarithms to solve the given equation
log2(log2 x) = 2

Answer 1

Well lemme first write it using LaTeX:

\(\large{\log_{2} (\log_{2} {x}) = 2}\)

Answer 2

Please tell me if I am wrong

Answer 3

Okay lets start...

One step from my side and from yours.. how does that sound ?

Answer 4

*one from yours --- I forgot 'one' :D

Okay...

First we are gonna use the property:

\[\large{\log_{n} {m} = k \implies m = n^k}\]

Okay ?

Answer 5

So, our question gets simplified to:

\[\large{(\log_{2} {x}) = 2^2}\]

Any doubt ?

Answer 6

@maggielucci Can you use this property again to find out x ?