SOLUTION: The solution of the equation log(log x)=1 is x=10^10. Is this one true or false. I believe that it is false but want to make sure before I turn it in that it is correct.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The solution of the equation log(log x)=1 is x=10^10. Is this one true or false. I believe that it is false but want to make sure before I turn it in that it is correct.      Log On


   



Question 32907: The solution of the equation log(log x)=1 is x=10^10. Is this one true or false. I believe that it is false but want to make sure before I turn it in that it is correct.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
LOG(LOG(X))=1
PUT LOG(X)=Y
SO...LOG(Y)=1
AS PER DEFINITION OF LOG.....IF B^P=N...THEN....LOG(N)TO BASE B IS P
SO....HERE AS BASE IS 10..WE HAVE
10^1=Y...SO Y=10
NOW Y = LOG(X)=10
SO 10^10=X