SOLUTION: Given that log 2=0.301 and log 3= 0.4777, find the following. Round your answer to three decimal places if necessary. Log6 9 Possible answers: A) 0.815 B) 0.954 C) 1.226

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given that log 2=0.301 and log 3= 0.4777, find the following. Round your answer to three decimal places if necessary. Log6 9 Possible answers: A) 0.815 B) 0.954 C) 1.226      Log On


   

Question 727461: Given that log 2=0.301 and log 3= 0.4777, find the following. Round your answer to three decimal places if necessary.
Log6 9
Possible answers:
A) 0.815
B) 0.954
C) 1.226
D) 0.159
E) None
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that log 2=0.301 and log 3= 0.4777, find the following. Round your answer to three decimal places if necessary.
Log6 9
This reads log of 9, base 6
convert to base10
log(9)/log(6)
=log(3^2)/(log(2*3)
=2log(3)/((log(2)+log(3))
=1.226 (ans C)