Help? (1 Viewer)

[levelup888]

I get a log2 as part of my answer but idk if its right...

"If log12=a and log18=b, express log3 in terms of a and b"

I need help! I got
log3= (a+b)/3 - log2
but idk if its right, we never got answers ><

 

[Drongoski]

I think I can do an easy question like this one.


log 12 = log (2² x 3) = 2log 2 + log 3 = a . . . . (1)

log 18 = log (2 x 3²) = log 2 + 2log 3 = b . . . . (2)

.: 2log 2 + 4log 3 = 2b . . . . (3)

(3) - (1) ==> 3log 3 = 2b - a

.: log 3 = (2b-a)/3

 

[levelup888]

Thank you!!!!