Question

I need help with this logarithmic function F(x)=log1/3 (3-x). How do I graph this?

Answer 1

\(\bf log\left(\cfrac{1}{3}(3-x)\right) \qquad ?\)

Answer 2

1/3 is the base.

Answer 3

\[f(x)=\log_{1/3} (3-x)\]

Answer 4

or \(\bf \large log_{\frac{1}{3}}(3-x)\quad ?\)

Answer 5

ok

Answer 6

ahemm... well, sorry for the delay, I'd say use the "change of base rule", that is \(\bf \textit{log change of base rule}\color{blue}{ log_ab = \cfrac{log_cb}{log_ca}}\\
\large log_{\frac{1}{3}}(3-x) \implies \cfrac{log_{10}(3-x)}{log_{10}\left(\frac{1}{3}\right)}\)

Answer 7

Will do, thanks!

Answer 8

yw