SOLUTION: Hi. My question is: Given that {{{ log( 2, 5 ) }}} is approximately 2.3219, find an approximation for log base 2 square root 5. I calculated it using the law of logarithms for root

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi. My question is: Given that {{{ log( 2, 5 ) }}} is approximately 2.3219, find an approximation for log base 2 square root 5. I calculated it using the law of logarithms for root      Log On


   

Question 1131284: Hi. My question is: Given that +log%28+2%2C+5+%29+ is approximately 2.3219, find an approximation for log base 2 square root 5. I calculated it using the law of logarithms for roots and got 2.3219, but my calculator says it's 1.1609. Help?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the rule +log%28+a+%2C+b%5En+%29+=+n%2Alog%28+a%2C+b+%29+
+log%28+2%2C+5+%29+=+2.3219+
+log%28+2%2C+5%5E%281%2F2%29+%29+=+%28+1%2F2%29%2Alog%28+2%2C+5+%29+
+%281%2F2%29%2A2.3219+=+1.1609+ approx