SOLUTION: How do you simplify this? With steps please!! 6ln(1/5)/ln(1/25)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do you simplify this? With steps please!! 6ln(1/5)/ln(1/25)      Log On


   

Question 1061476: How do you simplify this? With steps please!!
6ln(1/5)/ln(1/25)
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






So









John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6ln(1/5)/ln(1/25)
=====
Note:: ln(a)/ln(b) = lnb(a)
-------------------------------------
Therefore::
6*ln(1/5)/ln(1/25) = 6*ln1/25(1/5)
Comment:: You want 6 times the power of (1/25) that gives you (1/5)
That power is 1/2 ; i.e. (1/25)^1/2 = 1/5
----
Then the answer is 6*1/2 = 3
-----------------
Cheers,
Stan H.