SOLUTION: Hi, I have quite a bit of troublesome problem here... What is the log_4 of sq.rt2?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I have quite a bit of troublesome problem here... What is the log_4 of sq.rt2?       Log On


   



Question 636301: Hi, I have quite a bit of troublesome problem here...
What is the log_4 of sq.rt2?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I have quite a bit of troublesome problem here...
What is the log_4 of sq.rt2?
------
log4(sqrt(2) = log(sqrt(2))/log(4)
---
Let the base be "2".
Then log2(sqrt(2))/log2(4)
---
= (1/2)/2
----
= 1/4
===========
Cheers,
Stan H.
===========