SOLUTION: Simplify: log5radical 0.1 I think it's -.2 but I don't know how to work the problem thank you

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Question 115772: Simplify: log5radical 0.1
I think it's -.2 but I don't know how to work the problem
thank you
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
log5radical 0.1
--------------
If 5 is the base, you have
log(base 5)sqrt(0.1)
= log(sqrt(0.1))/log(5)
= -0.715338...
====================
If you meant log[5*sqrt(0.1)], you have
= log5 + log(sqrt(0.1))
= 0.19897...
=================
Cheers,
Stan H.