SOLUTION: Evaluate the expression: log4 Sqrt(2). I came out with 1/4 but that doesn't seem right. Thank you

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Evaluate the expression: log4 Sqrt(2). I came out with 1/4 but that doesn't seem right. Thank you      Log On


   

Question 47867This question is from textbook College Algebra
: Evaluate the expression:
log4 Sqrt(2).
I came out with 1/4 but that doesn't seem right.
Thank you This question is from textbook College Algebra

Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log4 Sqrt(2)
=(1/2)log(base4)2
Note: log(base4)2 means "the exponent of 4 that gives 2 as a result".
That number is 1/2
=(1/2)(1/2)
=1/4
Cheers,
Stan H.

Answer by Nate(3500) About Me  (Show Source):