SOLUTION: If log7(log3(log2(x)))=0, find the value of x^-1/2.

Question 959136: If log7(log3(log2(x)))=0, find the value of x^-1/2.
Found 2 solutions by Fombitz, jsmallt9:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

So,

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
First we will find x and then x^(-1/2). To find x we will repeatedly rewrite the equation in exponential form (to "peel away" the logs).

In general is equivalent to . Using this pattern on

which simplifies to:

Repeating...

Again...

Now for :

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