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

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

mertsj · Answer

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

mertsj · Answer

$$\log_{13}xyz=\log_{13}x+\log_{13}y+\log_{13}z    $$

mertsj · Answer

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

mertsj · Answer

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

mertsj · Answer

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

anonymous · Answer

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.

anonymous · Answer

BTW... thank you.