SOLUTION: How do I solve the equation for x: 64=2^3^x?

Question 175148: How do I solve the equation for x: 64=2^3^x?
Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Substitute
Substitute
The bases (8) are equal so the exponents are equal.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I think you mean:

Recognize that 64 is a power of 2, namely . Hence, and therefore

Take the log of both sides:

But we know that , so:

and finally,

which is the exact answer. Use your calculator for a numerical approximation of the appropriate precision if necessary.
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