SOLUTION: If log 2 » 0.301 and log 3 » 0.477, then log 6 » a. 0.778 b. 0.144 c. 0.176 d. Cannot be determined given this information

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If log 2 » 0.301 and log 3 » 0.477, then log 6 » a. 0.778 b. 0.144 c. 0.176 d. Cannot be determined given this information       Log On


   

Question 155462: If log 2 » 0.301 and log 3 » 0.477, then log 6 »
a. 0.778
b. 0.144
c. 0.176
d. Cannot be determined given this information
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If log%28%282%29%29+=+0.301 and log%28%283%29%29+=+0.477 find log%28%286%29%29
Remember! log%28%28a%2Ab%29%29+=+log%28%28a%29%29%2Blog%28%28b%29%29
log%28%286%29%29+=+log%28%282%2A3%29%29 and log%28%282%2A3%29%29+=+log%28%282%29%29%2Blog%28%283%29%29 and if log%28%282%29%29+=+0.301 and log%28%283%29%29+=+0.477 then log%28%282%29%29%2Blog%28%283%29%29+=+0.301%2B0.477 so...
log%28%286%29%29+=+0.778