Question

Use the properties of logarithms to write the following expression as one logarithm. logs logr + 8logr s − 3logr t

Answer 1

Hi ! the actual answer is logr s^9/t^3or answer c, also taking the class :) hope this helps !!

Answer 2

To solve this problem you must apply the proccedure shown below:
 1. You have the following expresssion given in the problem above:
  $log(s)log(r)+8log(rs)-3log(rt)$
 2. By using the logarithms properties, you have that the product of two logarithms can be written as a sum:
 $log(s+r)+8log(rs)-3log(rt)$
 3. The sum can written as a product and the susbtraction as a division. The number 8 and 3 can be written as exponents:
 $log(s+r)(rs)^8/(rt)^3$
 Therefore, the answer is: $log(s+r)(rs)^8/(rt)^3$