SOLUTION: Solve the logarithm. What is the solution set? (the 3's are at the bottom) Log3(Log3^z)=1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the logarithm. What is the solution set? (the 3's are at the bottom) Log3(Log3^z)=1       Log On


   

Question 301156: Solve the logarithm. What is the solution set? (the 3's are at the bottom)
Log3(Log3^z)=1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the logarithm. What is the solution set? (the 3's are at the bottom)
Log3(Log3^z)=1
----------------
Log(3^z) = 3^1
---
3^z = 10^3
----
z*log(3) = 3
z = 3/log(3)
---
z = 6.2877
===============
Cheers,
Stan H.
===============