SOLUTION: solve for x: log(2)[ln(log(x)]=1 any help would be great...thanks!!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve for x: log(2)[ln(log(x)]=1 any help would be great...thanks!!      Log On


   



Question 164183: solve for x:
log(2)[ln(log(x)]=1
any help would be great...thanks!!

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x:
log(2)[ln(log(x)]=1
---------------
[ln(log(x)] = 1/log(2) (divide by log(2) )
Raise e to both sides
log(x) = EXP(1/log(2)) (EXP is e to the power of...)
Raise 10 to the power of both sides
x = 10^(EXP(1/log(2)))
x = 5.1728965*10^27

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(2)[ln(log(x)]=1
--------------------
[ln(log(x)] = 2^1 = 2
------
log(x) = e^2 = 7.389...
x = 10^7.389...
======================
Cheers,
Stan H.