SOLUTION: 9. Write the expression as a sum or difference of logarithms. Express powers as factors. Please show all of your work. log4 √pq/7

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 9. Write the expression as a sum or difference of logarithms. Express powers as factors. Please show all of your work. log4 √pq/7      Log On


   

Question 469363: 9. Write the expression as a sum or difference of logarithms. Express powers as factors. Please show all of your work.
log4 √pq/7
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2Csqrt%28+%28pq%29%2F7%29%29=log%284%2C%28%28pq%29%2F7%29%5E%281%2F2%29%29
Use formula log%28c%2Ca%5En%29=n%2Alog%28c%2Ca%29
log%284%2C%28%28pq%29%2F7%29%5E%281%2F2%29%29=%281%2F2%29log%284%2C%28pq%29%2F7%29
Use formula log%28c%2C%28a%2Ab%29%29=log%28c%2Ca%29%2Blog%28c%2Cb%29, log%28c%2C%28a%2Fb%29%29=log%28c%2Ca%29-log%28c%2Cb%29