How do i do this? Rewrite each espression as a single Logarithm.

Question

anonymous · Answer

$$\log_{3} x-2 \log_{3} 5 + 3\log_{3}w  $$

hartnn · Answer

hi :)
do you know rules of logarithms ?
$\large a\log b=... \ \large \log (A) + \log(B)=... ?\ \large \log (A) - \log(B)=... ?$

anonymous · Answer

$$\log_{b} \frac{ a }{ b } = \log_{b} A -\log_{b} B ?$$

anonymous · Answer

Yeah i know the rules of logarithms

hartnn · Answer

yes, good :)
so, 2 log 5 can be written as log 5^2 , right ?
and similarly, what about 3 log w ?

anonymous · Answer

w^3*?

hartnn · Answer

yeah, its log w^3 

so now we have 
log x -log 25 +log w^3 , right ?
can you try to simplify it further ?
using, log A+logB = log AB
and log A-log B = log A/B

hartnn · Answer

doubts? any problem?