Posted by **Lynn** on Thursday, January 19, 2012 at 3:29am.

Can you please explain step by step on how to do this problem?

Condense the expression.

2(log base 6 of 15 - log base 6 of 5) + 1/2 log base 6 of 1/25

- Algebra 2 -
**Henry**, Friday, January 20, 2012 at 9:01pm
Things you should know:

Log(A)-Log(B) = Log(A/B).

Log(A)+Log(B) = Log(A*B).

Log(A)^n = n*Log(A).

Note: When no base is given, it is assumed to be 10.

N^(1/2) = sqrt(N).

Step-by-step:

2(Log6(15)-Log6(5) + 1/2Log6(1/25).

2(Log6(15/5)) + Log6(1/25)^(1/2) =

2(Log6(3)) + Log6(sqrt(1/25)) =

Log6(3^2) + Log6(1/5) =

Log6(9) + Log6(1/5) =

Log6(9*1/5) =

Log6(9/5).

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