# How do you solve # log _(2) (log _(2) (log _(2) x))) = 2#?

##### 2 Answers

Make repeated use of the fact that

#### Explanation:

Applying the property of logarithms that

we have

#### Explanation:

Start from this point: if you know that

Now, by definition,

And now we're in the same situation as before, so we can apply the same logic:

Which means

One last iteration gives us

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