SOLUTION: Condense the expression: 2(log6 15-log6 25)+ 1/2 log6 1/25

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Condense the expression: 2(log6 15-log6 25)+ 1/2 log6 1/25      Log On


   

Question 365631: Condense the expression: 2(log6 15-log6 25)+ 1/2 log6 1/25
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2log6(15/25) + (1/2)log6(1/25)
= log6 ((15)^2/25^2) + log6 (1/25)^(1/2)
= log6((15)^2/25^2) + log6 (1/5)
= log6[(15)^2/(25^2)*(5)]
= log6 [3^2/5^3]
=log6(9/125)