SOLUTION: use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?      Log On


   



Question 733170: use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
use log base 4 of 3 = .7925 and log base 4 of 5= 1.1610 to approximate the value of the expression log base 4 of 18. i was wondering how exactly to do this?
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18 = 3*3*2
log(18) = 2*log(3) + log(2)
2 = sqrt(4) --> log(2) = 1/2
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log%284%2C18%29+=+2log%284%2C3%29+%2B+1%2F2
= 2.085