SOLUTION: 2^(log 3x3^1/2)to base 10=3^kxlog 2 to base 10 FIND k.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 2^(log 3x3^1/2)to base 10=3^kxlog 2 to base 10 FIND k.      Log On


   

Question 84325: 2^(log 3x3^1/2)to base 10=3^kxlog 2 to base 10
FIND k.
Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
Take log (base 10) of both sides.
log%282%5E%28log+3%2A3%5E%281%2F2%29%29%29=log%283%5E%28k%2Alog+%282%29%29%29
log%283%5E%283%2F2%29%29%2Alog%282%29=k%2Alog%282%29%2Alog%283%29
%283%2F2%29%2Alog%283%29%2Alog%282%29=k%2Alog%282%29%2Alog%283%29
This give k=3%2F2