Question

Express in terms of logarithms x,y,z or w,
(a) log ↓3 (xyz);
(b) log ↓3 (xz/y);
(c) log ↓4 ³√y

Answer 1

The log of the product is equal to the sum of the logs.

Answer 2

\[\log_{13}xyz=\log_{13}x+\log_{13}y+\log_{13}z \]

Answer 3

The log of the quotient is equal to the difference of the logs.

Answer 4

\[\log_{13}(\frac{xz}{y})=\log_{13}x+\log_{13}y-\log_{13z} \]

Answer 5

\[\log_{14}y ^{\frac{1}{3}}=\frac{1}{3}\log_{13}y \]

Answer 6

I'm sorry. I did not know how to denote Sub 3 using Alt Keys. It should read: log sub 3. (Sub 4 should also be sub 3) Hope this helps. We just started chapter on logarithms.

Answer 7

BTW... thank you.