Rewrite as a simple logarithm

[Louise Johnson]

Its hard to believe but this is my first post using tex code. Hope it works!. Can someone check this problem.
Thank you
sincerly
Louise


Question: Rewrite the below as a simple logarithm.
\(\displaystyle \2\log _3 A - 3\log _3 B + \frac{1}{5}\log _3 C\)


my answer:

\(\displaystyle \log _3 A^2 - \log _3 B^3 + \log _3 C^{\frac{1}{5}}\)

\(\displaystyle \log _3 \left( {\frac{{A^2 \cdot C^{\frac{1}{5}} }}{{B^3 }}} \right)\)

Probably no where near correct but hey at least it looks a million times better than my old posts!!!LOL

 

[galactus]

Congratulations on taking the time to learn LaTex. It looks good.

Your answer looks OK to me. You can also enlarge things by putting \L\\ in front of your text.

\(\displaystyle \L\\log_{3}\left(\frac{A^{2}}{B^{3}}C^{\frac{1}{5}}\right)\)

There are lotsa tutorials on the web. You'll have it down pat in no time. It's not difficult to learn.

 

[soroban]

Hello, Louise!

Rewrite as a siingle logarithm: \(\displaystyle \:2\cdot\log _3(A)\,-\,3\cdot\log _3(B)\,+\,\frac{1}{5}\cdot\log _3(C)\)

My answer: \(\displaystyle \;\log _3(A^2)\,-\,\log _3(B^3)\,+\,\log _3\left(C^{\frac{1}{5}}\right) \;=\; \log _3 \left(\frac{{A^2\cdot C^{\frac{1}{5}}}}{B^3}\right)\)

Not only does it look great . . . it's absolutely correct!

If you want to insert spaces between terms, use \, (backslash, comma).

For larger spaces, use \: (backslash, colon) or \; (backslash, semicolon)
. . or even (backslash, space).

 

[Louise Johnson]

Thank you both for your help. The extra tips will make a big difference. It has taken me an excessive amount of time to get the tex tabs the correct way. Spaces are definately going to be useful and also knowing how to make it bigger. Definately comes out more clearly when its larger.

Thank you with the Tex help and the math help. I think I should go and eat before I pass out.

Louise