Question

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

Answer 1

\[\log_{3} x-2 \log_{3} 5 + 3\log_{3}w \]

Answer 2

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

Answer 3

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

Answer 4

Yeah i know the rules of logarithms

Answer 5

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

Answer 6

w^3*?

Answer 7

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

Answer 8

doubts? any problem?