SOLUTION: Condense the expression to the logarithm of a single quantity. −2 log6 5x What I got from this was log6 1/25x^5, but it says it's wrong and I don't understand why or how

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Condense the expression to the logarithm of a single quantity. −2 log6 5x What I got from this was log6 1/25x^5, but it says it's wrong and I don't understand why or how       Log On


   

Question 364793: Condense the expression to the logarithm of a single quantity.
−2 log6 5x
What I got from this was log6 1/25x^5, but it says it's wrong and I don't understand why or how to get the right answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This can be understood has working a rule backwards:
rule:
log%28a%2Cb%5Ec%29+=+c%2Alog%28a%2Cb%29
So, what you have is:
a+=+6
b+=+5x
c+=+-2
-2%2Alog%286%2C5x%29+=+log%286%2C%285x%29%5E%28-2%29%29
+log%286%2C%285x%29%5E%28-2%29%29+=+log%286%2C%281%2F%2825x%5E2%29%29%29