SOLUTION: Hi, Can you help me with this math problem? 12.) Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. log8 (sqrt8/7) The answe

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi, Can you help me with this math problem? 12.) Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. log8 (sqrt8/7) The answe      Log On


   

Question 135657: Hi,
Can you help me with this math problem?
12.) Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
log8 (sqrt8/7)
The answer should be 1/2 log8(8)-log8(7)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Rules:
1. log%28b%2C%28xy%29%29=log%28b%2C%28x%29%29%2Blog%28b%2C%28y%29%29

2. log%28b%2C%28x%2Fy%29%29=log%28b%2C%28x%29%29-log%28b%2C%28y%29%29

3. log%28b%2C%28x%5En%29%29=n%2Alog%28b%2C%28x%29%29

4. x%5E%281%2Fn%29=root%28n%2Cx%29

Your problem:
log%288%2C%28sqrt%288%2F7%29%29%29

Apply rule 4:
log%288%2C%28%288%2F7%29%5E%281%2F2%29%29%29

Apply rule 3:
%281%2F2%29log%288%2C%288%2F7%29%29

Apply rule 2:
%281%2F2%29%28log%288%2C%288%29%29-log%288%2C%287%29%29%29