Question

Evaluate the expression, reducing to simplest form and without using a calculator.

Answer 1

\[\log_{3} \sqrt{243}\]

Answer 2

that's the question.. i got up to this:
\[0.5\log_{3}243 \]

Answer 3

but i don't know where to go from there.

Answer 4

\[ \log_{3} \sqrt{243} = \log_{3} \sqrt{3^5} = \frac 5 2 \log_3 3 =\frac 5 2 \]

Answer 5

ohh. damn. so i was approaching this completely wrong.
thank you! ^^

Answer 6

Glad to help :)

Answer 7

i had one more question.. could you help?
I need to make this all one log function:
3logx−2log(x^2+1)+2log(x−1)

i got:
(x^3)/(x^2+1)^2*(x-1)^2

but that's wrong. ><

Answer 8

Sure, but please post it as a new thread.