# Algebra 2

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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 -

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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