I'm having a little bit of trouble with logs (Well, more specifically, rewriting logs in terms of others).

Here is one problem:

log 3 (10) = 2.1
log 3 (11) = 2.2
log 3 (8) = 1.9

Without using a calculator, find log 3 (330)

Question

I'm having a little bit of trouble with logs (Well, more specifically, rewriting logs in terms of others). 

Here is one problem:

log 3 (10) = 2.1
log 3 (11) = 2.2
log 3 (8) = 1.9

Without using a calculator, find log 3 (330)

anonymous · Answer

$$\log_{3} 330=\log_{3} \left( 3*11*10 \right)=\log_{3} 3+\log_{3} 11+\log_{3} 10=\frac{ \log 3 }{\log 3 }+2.2+2.1$$=?
$$(\frac{ \log x }{ \log x }=1)$$

anonymous · Answer

Ah, okay. That's what I was thinking. The log 3 (8) sorta threw me off. :)

doc.brown · Answer

I hate the term log, I always say$$log_2(8)=?$$two to the power of what equals 8
or in your case $$log_3(330)=?$$three to the power of what is 330?