Use log rule:  







Use log rule:  





Use log rule on first two terms: 



Use it again on the first two terms:



Use log rule: 



Write , , 

Then 

So




Approximately 1.894382029

Edwin


 

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
 
I was wondering about this problem since it didn't simplify into anything nice.

Maybe all your teacher wanted was only for you to get the decimal approximation:







Then use change of base formula, change to natural logs:



Edwin
 

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!
 


Perhaps your handwriting is as sloppy as mine and the "29" is supposed to be "24".  Then the expression simplifies nicely.


log6 8+2 log6 3+ log6 12-log6 24












 

RELATED QUESTIONS

log6 18 - log6... (answered by nerdybill)

log6 (2) + log6 (18)
 (answered by Alan3354)

slove

log6 4x-log6 (x-3)=log6 12
                (answered by stanbon)

how do i solve log6 3 + log6 8 - log6... (answered by Gogonati)

log6(x-3)+log6(x-4)=-2 (answered by rapaljer)

log6(2x-3)=log6(x+2) (answered by stanbon)

Log6 18 - log6 2 -2log6... (answered by ikleyn)

evaluate without using table 2log6^3... (answered by Alan3354,MathTherapy)

Find log6 2 + log6 108.... (answered by lwsshak3)