Question

why is this equation true?
4 log 3 x + one–half log 3 y – 2 log 3 z = log 3 x^4 sqrt y/ z^2

Answer 1

could you attach a picture of the problem? I am kind of confused with the notation... sorry

Answer 2

Yes, give me a second

Answer 3

i hope that makes sense

Answer 4

it does, thank you!

Answer 5

np

Answer 6

there's the use of just properties of log
\[\log_{3}a + \log_{3}b= \log_{3}ab \]
\[\log_{3}a \log_{3}b= \log_{3}a/b\]
and
\[\log_{3}a^n=n \log_{3} a\]
use these and u'll get your answer.

Answer 7

the 2nd one should be
\[\log_{3}a - \log_{3}b= \log_{3}(a/b)\]